linearalgebra_practice102hw.ipynb

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   "execution_count": 1,
   "metadata": {},
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    "%%html\n",
    "<style>\n",
    "@import url('https://fonts.googleapis.com/css?family=Roboto&effect=3d|brick-sign|');\n",
    "span {font-family:Roboto; color:black; text-shadow:4px 4px 4px #aaa;}  \n",
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    "</style> "
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  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import sympy\n",
    "sympy.init_printing(use_unicode=True)\n",
    "import numpy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "def minor(m,i,j):\n",
    "    return [row[:j] + row[j+1:] for row in (m[:i] + m[i+1:])]\n",
    "\n",
    "def deternminant(m):\n",
    "    if len(m) == 2:\n",
    "        return m[0][0] * m[1][1] - m[0][1] * m[1][0]\n",
    "\n",
    "    det = 0\n",
    "    for c in range(len(m)):\n",
    "        det += ((-1) ** c) * m[0][c] * deternminant(minor(m,0,c))\n",
    "    return det"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Задачи / Problems"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Матрица знаков для определителя 3-ого порядка / The matrix of signs for the determinant of the 3d order"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$ \n",
       "SIGN_{(3,3)} = \n",
       " \\begin{pmatrix}\n",
       "+ & - & +  \\\\\n",
       "- & + & - \\\\\n",
       "+ & - & +  \\\\\n",
       " \\end{pmatrix}\n",
       "$"
      ],
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       "<IPython.core.display.Latex object>"
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   ],
   "source": [
    "%%latex\n",
    "$ \n",
    "SIGN_{(3,3)} = \n",
    " \\begin{pmatrix}\n",
    "+ & - & +  \\\\\n",
    "- & + & - \\\\\n",
    "+ & - & +  \\\\\n",
    " \\end{pmatrix}\n",
    "$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Матрица знаков для определителя 4-ого порядка / The matrix of signs for the determinant of the 4th order"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$ \n",
       "SIGN_{(4,4)} = \n",
       " \\begin{pmatrix}\n",
       "+ & - & + & - \\\\\n",
       "- & + & - & + \\\\\n",
       "+ & - & + & - \\\\\n",
       "- & + & - & +\n",
       " \\end{pmatrix}\n",
       "$"
      ],
      "text/plain": [
       "<IPython.core.display.Latex object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%latex\n",
    "$ \n",
    "SIGN_{(4,4)} = \n",
    " \\begin{pmatrix}\n",
    "+ & - & + & - \\\\\n",
    "- & + & - & + \\\\\n",
    "+ & - & + & - \\\\\n",
    "- & + & - & +\n",
    " \\end{pmatrix}\n",
    "$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Пример расчета определителя 4-ого порядка по первому столбцу / Example for calculating the 4th order determinant by the first column"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\n",
       "A_{(4,4)} = \n",
       " \\begin{pmatrix}\n",
       "a_{11} & a_{12}& a_{13} & a_{14} \\\\\n",
       "a_{21} & a_{22}& a_{23} & a_{24} \\\\\n",
       "a_{31} & a_{32}& a_{33} & a_{34} \\\\\n",
       "a_{41} & a_{42}& a_{43} & a_{44} \n",
       " \\end{pmatrix} \\\\\n",
       "\\Delta = \\\\\n",
       "+ \\ a_{11} * (a_{22} * a_{33} * a_{44}  + a_{23} * a_{34} * a_{42}  + a_{32} * a_{43} * a_{24}  \\\\\n",
       "\\ \\ \\  \\ \\ \\ \\ \\ \\ \\ \\ - a_{42} * a_{33} * a_{24} - a_{32} * a_{23} * a_{44} - a_{43} * a_{34} * a_{22}) \\\\\n",
       "- \\ a_{21} * (a_{12} * a_{33} * a_{44}  + a_{13} * a_{34} * a_{42}  + a_{32} * a_{43} * a_{14}  \\\\\n",
       "\\ \\ \\  \\ \\ \\ \\ \\ \\ \\ \\ - a_{42} * a_{33} * a_{14} - a_{32} * a_{13} * a_{44} - a_{43} * a_{34} * a_{12}) \\\\\n",
       "+ \\ a_{31} *  (a_{12} * a_{23} * a_{44}  + a_{13} * a_{24} * a_{42}  + a_{22} * a_{43} * a_{14}  \\\\\n",
       "\\ \\ \\  \\ \\ \\ \\ \\ \\ \\ \\ - a_{42} * a_{23} * a_{14} - a_{22} * a_{13} * a_{44} - a_{43} * a_{24}* a_{12}) \\\\\n",
       "- \\ a_{41} * (a_{12} * a_{23} * a_{34}  + a_{13} * a_{24} * a_{32}  + a_{22} * a_{33} * a_{14}  \\\\\n",
       "\\ \\ \\  \\ \\ \\ \\ \\ \\ \\ \\ - a_{32} * a_{23} * a_{14} - a_{22} * a_{13} * a_{34} - a_{33} * a_{24}* a_{12})\n",
       "$"
      ],
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       "<IPython.core.display.Latex object>"
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   "source": [
    "%%latex\n",
    "$\n",
    "A_{(4,4)} = \n",
    " \\begin{pmatrix}\n",
    "a_{11} & a_{12}& a_{13} & a_{14} \\\\\n",
    "a_{21} & a_{22}& a_{23} & a_{24} \\\\\n",
    "a_{31} & a_{32}& a_{33} & a_{34} \\\\\n",
    "a_{41} & a_{42}& a_{43} & a_{44} \n",
    " \\end{pmatrix} \\\\\n",
    "\\Delta = \\\\\n",
    "+ \\ a_{11} * (a_{22} * a_{33} * a_{44}  + a_{23} * a_{34} * a_{42}  + a_{32} * a_{43} * a_{24}  \\\\\n",
    "\\ \\ \\  \\ \\ \\ \\ \\ \\ \\ \\ - a_{42} * a_{33} * a_{24} - a_{32} * a_{23} * a_{44} - a_{43} * a_{34} * a_{22}) \\\\\n",
    "- \\ a_{21} * (a_{12} * a_{33} * a_{44}  + a_{13} * a_{34} * a_{42}  + a_{32} * a_{43} * a_{14}  \\\\\n",
    "\\ \\ \\  \\ \\ \\ \\ \\ \\ \\ \\ - a_{42} * a_{33} * a_{14} - a_{32} * a_{13} * a_{44} - a_{43} * a_{34} * a_{12}) \\\\\n",
    "+ \\ a_{31} *  (a_{12} * a_{23} * a_{44}  + a_{13} * a_{24} * a_{42}  + a_{22} * a_{43} * a_{14}  \\\\\n",
    "\\ \\ \\  \\ \\ \\ \\ \\ \\ \\ \\ - a_{42} * a_{23} * a_{14} - a_{22} * a_{13} * a_{44} - a_{43} * a_{24}* a_{12}) \\\\\n",
    "- \\ a_{41} * (a_{12} * a_{23} * a_{34}  + a_{13} * a_{24} * a_{32}  + a_{22} * a_{33} * a_{14}  \\\\\n",
    "\\ \\ \\  \\ \\ \\ \\ \\ \\ \\ \\ - a_{32} * a_{23} * a_{14} - a_{22} * a_{13} * a_{34} - a_{33} * a_{24}* a_{12})\n",
    "$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Иллюстрированные примеры вычисления определителей: /\n",
    "## Illustrated examples of calculating determinants:\n",
    "[Определитель 4-ого порядка](https://www.quora.com/How-do-I-find-the-determinant-of-6x6-matrix-using-C-Programming)\n",
    "![](math_images/la102_01.png)\n",
    "[Определитель 3-его порядка](http://www.sharetechnote.com/html/Handbook_EngMath_Matrix_Determinent.html)\n",
    "![№1](math_images/la102_02.png) ![№2](math_images/la102_03.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "[Проскуряков И.В. Сборник задач по линейной алгебре](http://elibrary.sgu.ru/uch_lit/560.pdf)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
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      "text/latex": [
       "$$\\left ( \\left[\\begin{matrix}0 & 1 & 1 & 1\\\\1 & 0 & 1 & 1\\\\1 & 1 & 0 & 1\\\\1 & 1 & 1 & 0\\end{matrix}\\right], \\quad -3\\right )$$"
      ],
      "text/plain": [
       "⎛⎡0  1  1  1⎤    ⎞\n",
       "⎜⎢          ⎥    ⎟\n",
       "⎜⎢1  0  1  1⎥    ⎟\n",
       "⎜⎢          ⎥, -3⎟\n",
       "⎜⎢1  1  0  1⎥    ⎟\n",
       "⎜⎢          ⎥    ⎟\n",
       "⎝⎣1  1  1  0⎦    ⎠"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 258\n",
    "A258 = sympy.Matrix([[0,1,1,1], [1,0,1,1],[1,1,0,1],[1,1,1,0]])\n",
    "A258, A258.det()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
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      "text/latex": [
       "$$\\left ( \\left[\\begin{matrix}0 & 1 & 1 & 1\\\\1 & -1 & 0 & 0\\\\1 & 0 & -1 & 0\\\\1 & 0 & 0 & -1\\end{matrix}\\right], \\quad -3\\right )$$"
      ],
      "text/plain": [
       "⎛⎡0  1   1   1 ⎤    ⎞\n",
       "⎜⎢             ⎥    ⎟\n",
       "⎜⎢1  -1  0   0 ⎥    ⎟\n",
       "⎜⎢             ⎥, -3⎟\n",
       "⎜⎢1  0   -1  0 ⎥    ⎟\n",
       "⎜⎢             ⎥    ⎟\n",
       "⎝⎣1  0   0   -1⎦    ⎠"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Пример устного расчета\n",
    "# Из 2,3,4  столбца вычтем 1-ый\n",
    "A258 = sympy.Matrix([[0,1,1,1], [1,-1,0,0],[1,0,-1,0],[1,0,0,-1]])\n",
    "A258, A258.det()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left ( \\left[\\begin{matrix}1 & -1 & 0\\\\1 & 0 & -1\\\\1 & 0 & 0\\end{matrix}\\right], \\quad \\left[\\begin{matrix}0 & 1 & 1\\\\1 & -1 & 0\\\\1 & 0 & -1\\end{matrix}\\right], \\quad -3\\right )$$"
      ],
      "text/plain": [
       "⎛⎡1  -1  0 ⎤  ⎡0  1   1 ⎤    ⎞\n",
       "⎜⎢         ⎥  ⎢         ⎥    ⎟\n",
       "⎜⎢1  0   -1⎥, ⎢1  -1  0 ⎥, -3⎟\n",
       "⎜⎢         ⎥  ⎢         ⎥    ⎟\n",
       "⎝⎣1  0   0 ⎦  ⎣1  0   -1⎦    ⎠"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Разложим по 4-му столбцу\n",
    "A258_1 = sympy.Matrix([[1,-1,0],[1,0,-1],[1,0,0]])\n",
    "A258_2 = sympy.Matrix([[0,1,1],[1,-1,0],[1,0,-1]])\n",
    "A258_1, A258_2, - 1 * A258_1.det() + (-1) * A258_2.det()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAZMAAAAzBAMAAACgWfgIAAAAMFBMVEX///8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAq0Rmid0iMu92ELuZVM0av29pAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAFdUlEQVRoBdVazYscRRR/M7O9s+nJ7ix4iKLg/AHC7kUQPUwfvAQDOzFEISDuwbu55LyrBD2IuDmK4rSgkEwgM0YEIQfnJB4kzkUQD+5evIjiwS+MxvG9eq+6q2qqP2ZgRrsPVe+9evVe/bo+uua3CyDPYDDQYm6d5RcOBnFex8z2rIA6WFG79uO61gF4cfq3bczQPpv+5W0JptOxt0GMrel05G0vSpyV0Ah2M06UB1B6NtGKhKe8DkHHazaMDT+U4sT+hEbk5g9aqUUoFUfU7v7I/yUU+FqP7XESLChXYt2W1E+/uy9yDpTmpcRfC2tnPxcxb1Y8CakXx/Mn1AmoPr3N2vofVBtQwkd+jrkpLbcm4XOi+SPTrLx/917aQ6Sf4MN9FrOh+BJSH4nnT8hBpbzAdRBRbUAB6MdkMh+cuWdE90dWC+zUDJRGD9Zkj2RD8SVUyTieP6E5OvgmVuoTqiyA8hHAMbuDP3IGlNY2bAq+ZULZGisQV8tAwZN6Z6Ic54PSHkP9PvdbJpT675RDFkX+rIQEZXcBKEOE8svyocCPlCPg3Z8PZf1XgIOjBaC8HEHzzxVAUav/4LLKVAJKtCAUfA30LHOBwZDe84MqD51g4fcX6UFo/ZiNSRnicHYWmZVhBPW5Z+WWGsfzevH7z5lkbEpo9bB6hW35swK4V44n7OmPnHGC4bbfXMG2hwbu+6ZsygIodwC68QJQWiNorOAwhhBhrKljrPATiR+fu4xkvsO4cQinT7jjUvcKLa7WIScqmJVgEr7OjvNBgRfgOm4+epYL5ROAjREnMqE8/Nb5I7YmZXj2mowoB0rt098eSnqI8MHbZ0TKgeJJSJ0knn9zStSXzt1W0h4AfsPUY0JhS1bpj6y2fVYXZc+Bktsv491xn3AM3QmJ3U7y4asolFP3YXhCUPADro/YikKpvwptBQVXV1e2QEWh4Hwc79KstLehv0+CcxizKaP8X+0VgDr/7GqPYC/mEVd1VprX+ITcOIGvKg5FX6iCHjwqy6his5JefWFDXYyCw6pCkQmA5mVoqesqQqn4Ahve01B6sLfPAOddYLF+L1KX/dqHTj+b6nEblc5HZuxt29iWBYbbvu98V1IKbrarwbCF/zjNCoqH0lNuV2Ks+OLC32ajs3qHysEwouhwiDMJ2buxK98VxOR+IlMKzo6MmsWwXYztdoLio/TQSxg7hhJcsvupn69lOEQ3oYR57MvbSsLfeMcdtskCMyg48TUqk2HbjI0GFNWszFJ67NQnZ7lOfsumpFSJlUNiImGGQ3QTWt54LY7gYJdtAsWg4BxfVE0oa05zaSiR0zEDygyH6CZ0wuB1EidGPQIFVU3BOb6omlBuOM1loYRHTscMKDMcopvQCYPX4uCEbQJlmFJwji+qJhSZzMSpLJRG0kMEP5RZDtFN6MTBu2TtkG0CxaDgHF9UTShua1kobj8+jGf2SjGH6ATCW4vmQwwoQsE5vqiuGkrEQ/BfxZ3hvYHkkbBUeoGlFFziW4ph88xKek8yT7AkrAgZC6yQQ7TjrBNvaFN6uO01BWf7krbCWSnmEO3hEaUHX7BNZsWg4Gxf0lYJ5U4Rh2gPr9ZDfaejjALFoOBsX9JWCaWQQ7SH16YzPhgro0AxKDjbl7RVQinkEO3hdWPU5QjTUFIKzvZFLZdho23vo/QoCjN2OTyYh9Ir5BApcPqcV+JVVWooaWuW5D8b1QmW1UXZc6Dk9sul9KQn/wFPGPpqQ8GrIz1bEZXVhrITEwZovkZltaG8SRDweY+KSkOp8frCgyeqOpTvaDLU8zGWF0r/a9s70suugicHsW2xtXBwY2RbRCtKPBj4ExrB0n+iglan2v/adismXP8CxknnjEoeJ1AAAAAASUVORK5CYII=\n",
      "text/latex": [
       "$$\\left ( \\left[\\begin{matrix}-1 & 0\\\\0 & -1\\end{matrix}\\right], \\quad \\left[\\begin{matrix}1 & 0\\\\1 & -1\\end{matrix}\\right], \\quad \\left[\\begin{matrix}1 & -1\\\\1 & 0\\end{matrix}\\right], \\quad -3\\right )$$"
      ],
      "text/plain": [
       "⎛⎡-1  0 ⎤  ⎡1  0 ⎤  ⎡1  -1⎤    ⎞\n",
       "⎜⎢      ⎥, ⎢     ⎥, ⎢     ⎥, -3⎟\n",
       "⎝⎣0   -1⎦  ⎣1  -1⎦  ⎣1  0 ⎦    ⎠"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Разложим A258_1, A258_2 по последней строке\n",
    "A258_11 = sympy.Matrix([[-1,0],[0,-1]])\n",
    "A258_21= sympy.Matrix([[1,0],[1,-1]])\n",
    "A258_22= sympy.Matrix([[1,-1],[1,0]])\n",
    "A258_11, A258_21, A258_22, -1 * (1 * A258_11.det() - 1 * A258_21.det() + 1 * A258_22.det())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAABkAAAAOBAMAAAAoFKpzAAAAMFBMVEX///8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAEM3dMiKJmbtEZlR276s0Yu9/AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAXElEQVQIHWNggALWtIoJMDYDgzgD128E7/wGxk8I3twJDEg8BgbuXwg5BobJC5B4Pu8ckHgM3EAzhYxBwAQkfF8ALunCwNC/AcZj/C+AxGO4h6JyFYp9nOVAVwMANtkW44cnmdIAAAAASUVORK5CYII=\n",
      "text/latex": [
       "$$-3$$"
      ],
      "text/plain": [
       "-3"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "-1 * (1 * (-1 * (-1) - 0 * 0) - 1 * (1 * (-1) - 1 * 0) + 1 * (1 * 0 - 1 *  (-1)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAABkAAAAOBAMAAAAoFKpzAAAAMFBMVEX///8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAEM3dMiKJmbtEZlR276s0Yu9/AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAXElEQVQIHWNggALWtIoJMDYDgzgD128E7/wGxk8I3twJDEg8BgbuXwg5BobJC5B4Pu8ckHgM3EAzhYxBwAQkfF8ALunCwNC/AcZj/C+AxGO4h6JyFYp9nOVAVwMANtkW44cnmdIAAAAASUVORK5CYII=\n",
      "text/latex": [
       "$$-3$$"
      ],
      "text/plain": [
       "-3"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "deternminant([[0,1,1,1], [1,0,1,1],[1,1,0,1],[1,1,1,0]])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left ( \\left[\\begin{matrix}2 & -5 & 1 & 2\\\\-3 & 7 & -1 & 4\\\\5 & -9 & 2 & 7\\\\4 & -6 & 1 & 2\\end{matrix}\\right], \\quad -9\\right )$$"
      ],
      "text/plain": [
       "⎛⎡2   -5  1   2⎤    ⎞\n",
       "⎜⎢             ⎥    ⎟\n",
       "⎜⎢-3  7   -1  4⎥    ⎟\n",
       "⎜⎢             ⎥, -9⎟\n",
       "⎜⎢5   -9  2   7⎥    ⎟\n",
       "⎜⎢             ⎥    ⎟\n",
       "⎝⎣4   -6  1   2⎦    ⎠"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 259\n",
    "A259 = sympy.Matrix([[2,-5,1,2], [-3,7,-1,4],[5,-9,2,7],[4,-6,1,2]])\n",
    "A259, A259.det()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left ( \\left[\\begin{matrix}-2 & 1 & 0 & 0\\\\1 & 1 & 0 & 6\\\\-3 & 3 & 0 & 3\\\\4 & -6 & 1 & 2\\end{matrix}\\right], \\quad -9\\right )$$"
      ],
      "text/plain": [
       "⎛⎡-2  1   0  0⎤    ⎞\n",
       "⎜⎢            ⎥    ⎟\n",
       "⎜⎢1   1   0  6⎥    ⎟\n",
       "⎜⎢            ⎥, -9⎟\n",
       "⎜⎢-3  3   0  3⎥    ⎟\n",
       "⎜⎢            ⎥    ⎟\n",
       "⎝⎣4   -6  1  2⎦    ⎠"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Пример устного расчета\n",
    "# Из 1 строки вычтем 4-ую\n",
    "# Ко 2 строке прибавим 4-ую\n",
    "# Из 3 строки вычтем 4-ую * 2\n",
    "A259 = sympy.Matrix([[-2,1,0,0], [1,1,0,6],[-3,3,0,3],[4,-6,1,2]])\n",
    "A259, A259.det()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left ( \\left[\\begin{matrix}-2 & 1 & 0\\\\1 & 1 & 6\\\\-3 & 3 & 3\\end{matrix}\\right], \\quad -9\\right )$$"
      ],
      "text/plain": [
       "⎛⎡-2  1  0⎤    ⎞\n",
       "⎜⎢        ⎥    ⎟\n",
       "⎜⎢1   1  6⎥, -9⎟\n",
       "⎜⎢        ⎥    ⎟\n",
       "⎝⎣-3  3  3⎦    ⎠"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Разложим по 3-му столбцу\n",
    "A259_1 = sympy.Matrix([[-2,1,0],[1,1,6],[-3,3,3]])\n",
    "A259_1 , - 1 * A259_1.det()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAANkAAABLCAMAAADKztIMAAAAPFBMVEX///8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAo1xBWAAAAE3RSTlMAzUSZq1TvEGYy3Xa7iSJQQDB8rw0HegAAAAlwSFlzAAAOxAAADsQBlSsOGwAABm5JREFUaAXdm9marCgMgFFRFJc5M7z/uw6ELWwWbafP11V10Y1UxPwEQggWY+EzjLa4Kfjw8MVPF6R94Pcfc0lRa2TyKJs6V/1xnDVR4jrztJUrglZPz4DbmhfPu6kLf/GXyisFGVvWQl0R69pk1zQNx1bcW6nY6uMikzzPffK9SEM2llbhQ3hqk+wytj7Vy2Eq+DQoPwJCs2VhmBkT0qHRkDF+ZM/ZkL5NMg7aLkt2b+1y7yBbpbnzdKoQkV1Kdxf+DNFkrEm2gLq8NDhuyZZ7yA6Y7rPrAyIydkB/BY1mZLI2GYebuOqYaT1kajLPH10nU5Ftag9YujBg0KbN7B2yx4l1kAlPZt0ZFRk78GxJOe/JUlncPbjcQXap09zh2yMjm/FM48l8vyeTMIYwRa38FTIAZGRkTEWfIVTiKgOZGGT8uMk1dYGxDjJhbTa6eUFHhhzBiu1nxodfPUtrrH1gPWTMzjM/eOjIRttlRvkjGYx3ZLMZOVcbPHRFh83YASNlJfb6WgXlfYhQ2DPe2WyDKbF3hBc9ZCsoMLlZQWczbSk3ddZoPejz5mi85KQ/dlUL1qkXesiYNNHVErSot/SgdvdAHC/TuqEm2WD3UdH1tJ7Kj0VJnqyYNVFx7jv3yz6hzTbvHZds6W2S1bQjqyMkY8oS5dOsbTMyilpDlGSDHYVzuprdjMaaQmR1lGSTXSMnP9+8ku8/GlcF24ghXac/wWabXdEW7/0/x2bCuhCVRiCfYDPtHHWcdDkX6S32EWTSOMc5i60+gmxQeju7+wU7GO39fSPjxt+f+XJWrtTX2hEDh45BBYicRMfWQN9DuZ6xybh9bn0/1iffn802XgybAyR7X1zUoDev7W4hy6SaQB0/Bsx12A0gUrEYjefATZBvQvOvfaRU8sRPTG+nyqQKqYPvbUFj4zRTbHhNZvfRV+d2GmkPkQC6TotkmVQOG70D6bcbtzjkwVU5z6yt7tVMlXZX97eQZVKtDzzRlmU1ZPI1Geh5+o1UlaFeeU/m84224557EJeg2lEstRqfINOcqlaxmGdG7StJb9VBilq+7vvU6hG6TKq3WTxK0T6PscUsasmnSsbjbYnw7cWhvceV7djDDXSZVDfPEAiQKVRhn1oju9AgDrr1FbIjhHBTIPt2JlUsuts3jvYso7GZQhVtsvN18kNnayqZV6ZXTeSOA5eWthP8QSa1eI6Y9nPG80wftQtN9g96nCn+Uf9mNXo2PplmB3THhGZ20m6aSf3v+aiwrU5oz/LHkuULcGU0iiJQSXRsXCyQx2werRNnUgfU+dpmxoN0kI3Fct6ASartBFrQE5Ov7zKp7cAlacJewMsDFx4aMM9kjweZi0Wv8oCiCqKWPbyzUHzfzqSKYgNS3IwqdhOaHtjF95NdS25Y1HC7qN9F4FO7+28yqXdxdPm88zynZFUCMtikJcKVeZZ8/zMXWQwytzuk4/mziUGOvhiko7nviWRkdo4+bRKiq6OYQr/BZuLlocAtNMT6vHB7v4EMu4NbhvqXsD+DjXXy/W8gSxT6+sVkUiD76zzI11t+cEc2zx60gG6BgTgXS8cH2AzcosuBI+APIIOzCpcD/ywye1YBOXAEVt9TY4EfKVPOM20ts9BDDhwr+/6j0c0wnofEbbJLx2dHEqDhHonlTrlEjNJmq/WKe75UN8mEyehlL/xEnFjqlEvFKMlOG1eFdwy8ak2y3WzlOjYYnXKpGCXZ4fac+QFak2w0mRT8Kprvi+x/p1wqRkkmXeJAZimYJhkAzPm0zLD8ZadcECMkE/5s5cx0vSUbZV+w2ikXxQjJZp+1GX3BdfcN2bbz8DqRN07tf6ccFiMki5nH7D31GzJN4d9HrAHhuk65IEZIFl+3yjKCgazIWILm9t12DFEvd8p5MTqyLY5B9BKnUTKQ5RpvcPjgXWr+bbzulEvF6MhgNXHapMOxReaisZdknXKZGB3ZAAeFFm1PzktaZGyB8zA/fKKN8lKnXCpGRqZ/ZIYUiiNTVzbJVuPwwwKEbs+KnXKpGBlZ+or+ibL9bTI26nP4noi4Uy4RoyLLjiDciY/t+6bNMtPQXlKR7VlEhd9ofm+yBb1iAH2/xGn31mTYRHZQzdGI70wmshjYwMWfEb4zWaSwBoO/IYh/Y7Kxeli3+dr3/aU4k/UkzejeARDwy+2//UtxWLfREHpSFBjsfwm2Qv10+njtAAAAAElFTkSuQmCC\n",
      "text/latex": [
       "$$\\left ( \\left[\\begin{matrix}-2 & 1 & 0\\\\7 & -5 & 0\\\\-3 & 3 & 3\\end{matrix}\\right], \\quad -9\\right )$$"
      ],
      "text/plain": [
       "⎛⎡-2  1   0⎤    ⎞\n",
       "⎜⎢         ⎥    ⎟\n",
       "⎜⎢7   -5  0⎥, -9⎟\n",
       "⎜⎢         ⎥    ⎟\n",
       "⎝⎣-3  3   3⎦    ⎠"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Из 2 строки вычтем 3-ую * 2\n",
    "A259_1 = sympy.Matrix([[-2,1,0],[7,-5,0],[-3,3,3]])\n",
    "A259_1 , - 1 * A259_1.det()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left ( \\left[\\begin{matrix}-2 & 1\\\\7 & -5\\end{matrix}\\right], \\quad -9\\right )$$"
      ],
      "text/plain": [
       "⎛⎡-2  1 ⎤    ⎞\n",
       "⎜⎢      ⎥, -9⎟\n",
       "⎝⎣7   -5⎦    ⎠"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "A259_11 = sympy.Matrix([[-2,1],[7,-5]])\n",
    "A259_11, -1 * 3 * A259_11.det()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAABkAAAAOBAMAAAAoFKpzAAAAMFBMVEX///8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAEM3dMpmrdu8iu4lEZlT4QwRnAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAZElEQVQIHWNggIHQMAEYk4FBuIClE8HLYGBYiuB9YmDYD+cx/mJgqHeAc0FyB+A8oL71F+A8iQMs+Q8YhIxBwISBMXwfkj6gongk6xkYtODaGF4IcH5B8IoFuBBGMnDvjmFgAACsRhTugohV/wAAAABJRU5ErkJggg==\n",
      "text/latex": [
       "$$-9$$"
      ],
      "text/plain": [
       "-9"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    " -1 * 3 * (-2 * (-5) - 1 * 7)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAABkAAAAOBAMAAAAoFKpzAAAAMFBMVEX///8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAEM3dMpmrdu8iu4lEZlT4QwRnAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAZElEQVQIHWNggIHQMAEYk4FBuIClE8HLYGBYiuB9YmDYD+cx/mJgqHeAc0FyB+A8oL71F+A8iQMs+Q8YhIxBwISBMXwfkj6gongk6xkYtODaGF4IcH5B8IoFuBBGMnDvjmFgAACsRhTugohV/wAAAABJRU5ErkJggg==\n",
      "text/latex": [
       "$$-9$$"
      ],
      "text/plain": [
       "-9"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "deternminant([[2,-5,1,2], [-3,7,-1,4],[5,-9,2,7],[4,-6,1,2]])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left ( \\left[\\begin{matrix}-3 & 9 & 3 & 6\\\\-5 & 8 & 2 & 7\\\\4 & -5 & -3 & -2\\\\7 & -8 & -4 & -5\\end{matrix}\\right], \\quad 18\\right )$$"
      ],
      "text/plain": [
       "⎛⎡-3  9   3   6 ⎤    ⎞\n",
       "⎜⎢              ⎥    ⎟\n",
       "⎜⎢-5  8   2   7 ⎥    ⎟\n",
       "⎜⎢              ⎥, 18⎟\n",
       "⎜⎢4   -5  -3  -2⎥    ⎟\n",
       "⎜⎢              ⎥    ⎟\n",
       "⎝⎣7   -8  -4  -5⎦    ⎠"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 260\n",
    "A260 = sympy.Matrix([[-3,9,3,6], [-5,8,2,7],[4,-5,-3,-2],[7,-8,-4,-5]])\n",
    "A260, A260.det()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left ( \\left[\\begin{matrix}-3 & 0 & 0 & 0\\\\-5 & -7 & -3 & -3\\\\4 & 7 & 1 & 6\\\\7 & 13 & 3 & 9\\end{matrix}\\right], \\quad 18\\right )$$"
      ],
      "text/plain": [
       "⎛⎡-3  0   0   0 ⎤    ⎞\n",
       "⎜⎢              ⎥    ⎟\n",
       "⎜⎢-5  -7  -3  -3⎥    ⎟\n",
       "⎜⎢              ⎥, 18⎟\n",
       "⎜⎢4   7   1   6 ⎥    ⎟\n",
       "⎜⎢              ⎥    ⎟\n",
       "⎝⎣7   13  3   9 ⎦    ⎠"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Ко 2 столбцу прибавим 1-ый  * 3\n",
    "# К 3 столбцу прибавим 1-ый \n",
    "# К 4 столбцу прибавим 1-ый  * 2\n",
    "A260 = sympy.Matrix([[-3,0,0,0], [-5,-7,-3,-3],[4,7,1,6],[7,13,3,9]])\n",
    "A260, A260.det()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left ( \\left[\\begin{matrix}-7 & -3 & -3\\\\7 & 1 & 6\\\\13 & 3 & 9\\end{matrix}\\right], \\quad 18\\right )$$"
      ],
      "text/plain": [
       "⎛⎡-7  -3  -3⎤    ⎞\n",
       "⎜⎢          ⎥    ⎟\n",
       "⎜⎢7   1   6 ⎥, 18⎟\n",
       "⎜⎢          ⎥    ⎟\n",
       "⎝⎣13  3   9 ⎦    ⎠"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Разложим по 1-ой строке\n",
    "A260_1 = sympy.Matrix([[-7,-3,-3],[7,1,6],[13,3,9]])\n",
    "A260_1, -3 * A260_1.det()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left ( \\left[\\begin{matrix}-7 & -3 & -3\\\\-7 & -5 & 0\\\\-8 & -6 & 0\\end{matrix}\\right], \\quad 18\\right )$$"
      ],
      "text/plain": [
       "⎛⎡-7  -3  -3⎤    ⎞\n",
       "⎜⎢          ⎥    ⎟\n",
       "⎜⎢-7  -5  0 ⎥, 18⎟\n",
       "⎜⎢          ⎥    ⎟\n",
       "⎝⎣-8  -6  0 ⎦    ⎠"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Ко 2 строке прибавим 1-ую * 2\n",
    "#  К 3 строке прибавим 1-ую * 3\n",
    "A260_1 = sympy.Matrix([[-7,-3,-3],[-7,-5,0],[-8,-6,0]])\n",
    "A260_1, -3 * A260_1.det()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left ( \\left[\\begin{matrix}-7 & -5\\\\-8 & -6\\end{matrix}\\right], \\quad 18\\right )$$"
      ],
      "text/plain": [
       "⎛⎡-7  -5⎤    ⎞\n",
       "⎜⎢      ⎥, 18⎟\n",
       "⎝⎣-8  -6⎦    ⎠"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Разложим по 3-му столбцу\n",
    "A260_11 = sympy.Matrix([[-7,-5],[-8,-6]])\n",
    "A260_11, -3 * (-3) * A260_11.det()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAABMAAAAOBAMAAAA/Njq6AAAAMFBMVEX///8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAMt0Qq5nNdrvviURUZiKjDJpDAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAcklEQVQIHWNgYFRmYGBevnQDA4NJ2GcGBlYGBh8GBgZ2IPMuA4MZlLkCwdzfzBALFWX5X3oAymRY/+0BlMmzrv83lHmVgeenAcSwyQwM7w+AmcwfGBhYLkBE5zEwcAD1gWzbZsBwHSjR+cmdgdE1dAMDAIFdJahzuJm9AAAAAElFTkSuQmCC\n",
      "text/latex": [
       "$$18$$"
      ],
      "text/plain": [
       "18"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "-3 * (-3) * (-7 * (-6) - (-5) * (-8))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAABMAAAAOBAMAAAA/Njq6AAAAMFBMVEX///8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAMt0Qq5nNdrvviURUZiKjDJpDAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAcklEQVQIHWNgYFRmYGBevnQDA4NJ2GcGBlYGBh8GBgZ2IPMuA4MZlLkCwdzfzBALFWX5X3oAymRY/+0BlMmzrv83lHmVgeenAcSwyQwM7w+AmcwfGBhYLkBE5zEwcAD1gWzbZsBwHSjR+cmdgdE1dAMDAIFdJahzuJm9AAAAAElFTkSuQmCC\n",
      "text/latex": [
       "$$18$$"
      ],
      "text/plain": [
       "18"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "deternminant([[-3,9,3,6],[-5,8,2,7],[4,-5,-3,-2],[7,-8,-4,-5]])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAARMAAABkCAMAAACSJyRHAAAAQlBMVEX///8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACGKEuzAAAAFXRSTlMAzUSZq1TvEGYy3Xa7iSJsYK9AMHz2s7cdAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAJJUlEQVR4Ae2d6bbjJgyAveB9aWda3v9Vy26QwBYOmZseJ3+CMesXATJCTlW5T92Y4MTVh7k7Hx6YdXtfaeU+D7HsrWMw8W0UH4solvij4mRjR8ZfatPmeu8V0/WO1MR378afC06yquFm3eNrTKp+RB0dvDjMZN+2ds2Xm8xsPa/rOS7EfnuHbdla1JhXmTRYEFh9VIuYDK24OfLuSEIK5WabZz5vTlqTVcjGVAw25lUmFVtBjRP3wCMmi8QxcA8byB6/zM0WG9K45FEJ+QAb8zKTHf7mtV8FYtL0klg2k9xsNCab+j3LM6nWOfgBOl9MKsREpe04noWCQuIXGdloTBq+ivHVwsa8LCei24vfhTpAFGXSzLAVfgHJcE42Ni5LqxafZHHyBuN8aeF0Iqa700yUm2vvpQKEIkymhbHr1npF6mBeNvn774HEogJVxMZ5jVbsAkw6f0ZhPJjtI0xEW4Ic8cbGYnOzgVEdKbLb9pUjdAWY+DPmwMNlKM6k6kNyuLWD0C7cx0lVMls8eYv1hLCmUa7FHT9UTH27BBPGXauh5oGYTCrp6otW2M74VWa2Va197dGueKkaBlo5SzBp+GbrXIEAQCYDVwlymeRm69VEf/XcMpi5lIEpvwSTittZduDBqlPhtbhXq2RyEFi28Dszm/6N+nAcwzKrqtfT6wpm2SJMViuk4yExugVQTiqlOmYoGqYjmdl2OVEscJ5AUJpaLghjoEvIiNfXYlG7RcHgHI6YVE3b3nkGzMy2ty1rgxUQAZERExOt8R5FdKIiTCarq/eQMGYSbdtnRRZhUnHNAk0neD75rN7HW1OGSa3HTAe0k8gcG2/FZ8WWYdLqZ57Wziuujw8eOyNXS2yNVLEHM5m0htLbNfkrJ3LjTE2yWkl1QETgwXIiFh6hC+5m+fGgPJnJLBeeDmr2z5aTWu4mLlZ1OwTlyXLC5Cq8IfXk0fNJKxdjplfkQ0pOxg7VhiUeXOrVbc/4RSfDk7LaJG/Hb2ziY6spo7NpEVk5ak1q7FBtWLvUezb4ZBnvlo2dla5kr0jf+yymQ2b3OYoxETtbNZ0J1YbF1LNtb/dnKB1cbjCp5Y+52u2WQkwWueTUSLVPzidUG5befGJXG6seq2mss+WkC3cHCzEZJZOZzkR1grC1pOXZ2/D1eh8PblU+kzqUw2JMRLFzaP2SbU7NJ/Ie3YY1w20ZmT3+WfYbTHg9bcuxt1SISSdV2B6bPNNMMmxYwI4Wh6Fjd6EmZcuJMOnLXereGgRLMuE5TEQjqDasGS1nSSxyc/oGEyWHrd2/LcSkkXLC+V+wsb/5PyoqbpSibd+3dCSj3IG/ZgJbo59JRrvk/0sfqrC//vVv+UjM+d9+nAxbJjA+w4aljHUwf/x6Vzvw10xg7lmZyEYr5mWZ2BHpKk3MJxk2rE4Ohx1YYFz5YaBh8sN7pu074c2TK21YdnJSaOyIM59STqhMKrINa1LdW67NEkeXddnH9XWoMfOJSflDTKg2rH0WBpjWad3X3RMp8JPoZbZVkB9Krzu5ckI1fdX6DK9/HOyig63IskLL3kUe8UglwNtHwEw74GSOV6IzlNlMLlv5gwkyxs7AxG+gB7ZaHf0zlE9lIn65RTPBZyi/TPAZyi8TfIbyywSfofwykduB4RnKL5MKnaFUTNpfSAUfxhwN9AfXX79queFA/9h1R67FwRnK4dcv+VxM1u3pVf5Aygz9RLTOMMFnKB8/diJnKN/ORCneZMetnThk46WGcnI1+K2c6HnDO0NJZ3LDiCWHD9Fxy4w0sRWqPuHes7npfcVLDZhc+hoZJvgMJZnJHSOW7ATRccv0d6vlgcZ2RvObxyNdasBE1HwmKWzt+czkMyc6Q0lmcsOIpfqRZ7PRu5XqlCygEF7GSw2ZVN0Zk7C84IrMJN+IpeuJtz5og3eh5eM6TzwFYJK5aeeaQWaSb8S6w0TlcTZx10oUoDAZsjdjTDVkJjp9hhHLVEB03PJ6vVvzrxcHg/FSQznJUuD8CvKYZBixbCVUxy2bXhwTQGfGj3s2FC81ZGLTZn/nMckwYgUtuXbcOpLvZCMNKvUnmBCMWNAqpfuadNyKJN/Ie7io1LJMkLjG7DsZRiz3sxMdt1x6odAQppNEqWWZIB0pwiTHiOX6SHPccsnlid34muIlEcqxOpmE3MHKMZH6N4HJDSOW6IfWES4dt44eN/jM1HHThhKlFmKibOizNbjaOiPnT+4YsURxRMeto+IOnw86btpQotQ/zSTfiKU7QHTcsr2tdmfVc1GRQLzUkkzUweGw5sh8Eib4xKtCTMSmmzg4mHd26xNxqDYVYjJqJuhx6clyos6CMjzXP5nJJt0P1AHzcEQ8mUkrD30s+OTHk5moYdN9fVX8UaKWHOMV6Mc/WU6Ux6jxCvwy0QS0x6jyCvSRnJ4tDxJ+0kUZ/cSc7VRegUHv/vTYiRuxgiZdX5RhYmYShh4CT5lQHLKo/mCmp3Ej1jWGqryf16hXnAUpbadMCM5HVH8w2+s805jNVb3Dz2vTT+bunR+usjMmFIcsqj+YrZCwkWST+t/v8POy70dCTtcnTEgOWVR/MNvBe0ze4uc1mzOiM3RSO2FCd8gi+IO9xuQdfl6DfcnUBifZNBO6QxbdH0wYdWjvNLQIzfc7/Lw6uyHc2ICtNMmE7JCV4Q8mKo0bsWxrEt9v8fNibnMaer0mmcidFqqjDdUfzHYZGbHsjcS30b/L+nkdr5aCr86zTKBRiuiQZTpB8wdzPUZGLHfHBGBrgJ9XCZ1tOkaM90o/Vb9lAlpFdsjK8AeTVSSMWKB2dAn8vEowUUqEqQgMngQTqkNWhj+Yqj9hxEIQQMQb/Lz8pWyxjoa62gQTfZPgkEX2B9MlJoxYAAG6LO/nJd7r79VyjCMZecoEb8t55egg1R/MZEwYsVCxMKK4n1f4Gt3NqG+62hMmNIes97zTEDJ5xc8LlSUigLV6CKTmhEmsrM+Ie32OXYA+b86L6u49lEkP3cR7b3p5JpNALJRwdJ7gPJLJAJ/6BBbv7yIeycTr/zFBHu/0fyKTxr4f4wAiQpOLFech5efeVk9Q5p+5KPA/TZV8X1Xk01iHr0H98dH/7H+atKtwpFukqMFH8h8mv2jTqO/OYAAAAABJRU5ErkJggg==\n",
      "text/latex": [
       "$$\\left ( \\left[\\begin{matrix}3 & -3 & -5 & 8\\\\-3 & 2 & 4 & -6\\\\2 & -5 & -7 & 5\\\\-4 & 3 & 5 & -6\\end{matrix}\\right], \\quad 18\\right )$$"
      ],
      "text/plain": [
       "⎛⎡3   -3  -5  8 ⎤    ⎞\n",
       "⎜⎢              ⎥    ⎟\n",
       "⎜⎢-3  2   4   -6⎥    ⎟\n",
       "⎜⎢              ⎥, 18⎟\n",
       "⎜⎢2   -5  -7  5 ⎥    ⎟\n",
       "⎜⎢              ⎥    ⎟\n",
       "⎝⎣-4  3   5   -6⎦    ⎠"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 261\n",
    "A261 = sympy.Matrix([[3,-3,-5,8],[-3,2,4,-6],[2,-5,-7,5],[-4,3,5,-6]])\n",
    "A261, A261.det()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAARMAAABkCAMAAACSJyRHAAAAQlBMVEX///8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACGKEuzAAAAFXRSTlMAzUSZq1TvEGYy3Xa7iSJsYK9AMHz2s7cdAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAIUklEQVR4Ae2d64KsJgyAUfF+ac9pef9XLRfRkMAOWZmtrbN/BjVI+CZcQ2aFOP6qek+Oyv7J48nNE5PT94qW29THsjcHg1Gtg/7ziGLCt7pnlB2kuqTTetQevKbtDlKj2sCDn0uOpqj+m2UP15iIbiAV7cE9ymRb12bh2w0zW6eqaoobMdS3X+e1IcpcZVJTQ5DVWSxh0jf64aDaUyQrxc02TWpaD2tNFmGUERIrc5WJkAsqcVQAPGEyGxy9AthQ9vglN1usSdM3D9bIe6zMZSYb/s4rWARhUneGGJsJN1sek9V+n+WZiGUKvoAWmokgTKxsq2gvFLwkfsHIlsekVotuXw1W5rKd6GrPsApVgCjKpJ6wFvAFyTQnmxzmubGDT/J15oFUam5wd6K7uy8z5TxcOiCFCEWYjLOUr7UFr3RJXjbz/W+BxZIX2hurUhUZsQswaWGPIlXQ20eYaF2CHHFlY3e52VCrjryyXbdFEXQFmMAes1fhMBRnIrqQHNW217OL4++wqmS2uHhD5wlhSYMZi1t1TjHd4xJMpDq0xjMPwmS0ogs0rVDP+BUz22LHvubUK/5WB4OMnCWY1Gr1ZS7IADCTXlkBLhNuts529K/WLf3el0rU5ZdgIpTvZXsVjDqCjsWdHSWTjcCzxZ/MbO476sJ2jN8pROe61wX1skWYLN5Ih9NinAbYToSdOjImGntFmNk201HMuJ8gUOrKDAhDMJcwN66Pxbp0j0LiPpwwEXXTfGcNyMy2NY1sghGQADE3Rqm1AUsRJ1SEyejn6h0mTJlEdbvXzSJMhHIsSHdC+5N71T6uTRkmlWszLZqdRPrYuBb3uluGSePWPI3vV446PrjtDMoOsRWZij2YyehmKJ0fkz92YjbObCfrJqkHEJ14sJ3ogUfPBbd9+AFQnsxkMgNPi2f2z7aTyuwmzn7qdhrKk+1EmlF4JdOTR/cnjRmMpRuRTyuJtp11nRu0EIU5kunxtQsL5s0S18uiajk2f3z2MnM2ZyKLsj4k/2rzSdtOZfw7ExdKL5sKbc3AYnA6U3wzs6oVr1vLrIvNi/XOVpXBZLAbLM6xgmvy9fXMYKLflCMu7cq587s/vvxCdjKbIaciU3tqJ4ud8La8+lllcyrpa5XJxG1tSbxtW4jJYJhMGUycKdVkEQBqk0i+gYm0Rgu2k13RxZhoA5xC75cpAPcnvWeCtkATHODtNzBxr5/wpk8hJq2ZwnbU5YmZbM6UkGcMVj2ZfhcTqktJJorB5NjpTzLAD97FZCKDZSEmtbETpf7AFfmt/gpu9c5OatrKAjERcWJ9xYQpDstqCBLxN25MUD4//dssiZX6E+fATITrT7heTvPar5jgYvPFrSsQZS/LhLjocX8iFutzGe4xFutlq2nDG5pBFmo7+synsZPXTAY7QWrguR30LaUu32Eno+3WZuT0+GkmYjJz+46sMVIkzvtvYLJN2r3TuFnKWVCpuX22nQh91HD+xvkTuXRqkthjByoSJvPEK3dCGBstz078YpOcocxnEup+yysGE7DYtOMXPEP5VCb6O93bND1D+WFCz1B+mNAzlB8m9Azlh4nZVwvPUH6Y6CkxOkNpmTS/0CRZz84GNEe85eCLlNpYmzt+3DFjcXCGsv/1y6yLX8/tUfG3vGTMT7T+OxN6hvLxbSdyhvJ/zORV4/d24voNcIbyG0z8OiGv+cS9U8m8XPEg+CxoOy9jjXYm9AwllwlYJyTrBR8kvFNQBKaZ4iiKLGAivg6hOxeb5Awll4muwM4XViWdTninUhmY4iiKLGQi2letJ6HFu5kkvFMJbfYYB+LMSomjKDLEhL+d7sp5N5OEdypVSaa4fc15uDtk0mdv2iBt3s3EFUe8U0gLdMkSB1FkIRPWBA5q8CNMqHcKqkDSHPEgiixkQt6be+NHmFDv1JfqMcVP/8oPMeE6pSLyIuKd8kwKiBvX7j7AlGVCQhyIf8fXgjkW62wx79T5NpLiiKMosrJMOGtA1vwk4Z0iJI4bUWfW8TRM4CiyckyM8b2PSdw7FdYNXPHEURRZISbWhz69PlcA1GbZScI7BV4XJJniKIrs32JyrhOCyqQuEt6pQuIo+KwkE3twOFTziz42FLzTVSEmetNNiIWeKnkyk8ExIculJzOxZ0FlxvnYO7WRlC6F2o49M2wPmIcFPdlOGhN+MH9iEKBF2GbTfmJVIBM75OxRgfD+k9uOjRjdowI/TBwBFzFqowIhEnK2PHh414sy486+srRRgUFNH9x29p5EkkXgF0wyfV7MsDCeeNw1VsZOBjfizGTSlmKS7fNihoXxxBOusTJMVh9ugY9VppjoBpa1V8AMC2OKJ1xjZZj430ciQddXmTDDwpjiCU9aGSbTvr074TCyq0x8CBTZwAt68uOCKZ5wjRVh0vsfmVpxJ3uRCTMsjCm+oySusSJMWh9YXPuE/+YuMmGGhTHFnZLUNVaEiTw2p3FcaikmZGPGQw8+DyZ54i4vdY0VYXL+tBT+6TzPJOKUyhl3csPCdjJMcZsr4kkrwWQ8Wwz4ST9bomeyKw0/cphww8JcH3t6OWF58XTMNVaCiT3SsheJGs9VJsywMKZ4wpNWgkkFgtvnMPr/KhNmWBhTXMRdYwWY6N/1B3Z5tiNz8yoTblgYL4os4RorwCT8Gd3Ve+ctpySTXJ8XMyyMJ57wpF1n0oeWsff9u+UkmezPb/lxncmM5vPBePJQJh0O5O5A9/JMJoFZ2KbQAsN5JJMer/o0FvDvIh7JBNT/7C/P3/R/IpM6+vvG43FXn4c0f/YHg05m900V+D9NYiKn+mx9ax/w1dt/fPQf+z9NLlT4u19cD5H8A9YXbYekw8L7AAAAAElFTkSuQmCC\n",
      "text/latex": [
       "$$\\left ( \\left[\\begin{matrix}3 & -3 & -5 & 8\\\\0 & -1 & -1 & 2\\\\-1 & -2 & -2 & -3\\\\-1 & 0 & 0 & 2\\end{matrix}\\right], \\quad 18\\right )$$"
      ],
      "text/plain": [
       "⎛⎡3   -3  -5  8 ⎤    ⎞\n",
       "⎜⎢              ⎥    ⎟\n",
       "⎜⎢0   -1  -1  2 ⎥    ⎟\n",
       "⎜⎢              ⎥, 18⎟\n",
       "⎜⎢-1  -2  -2  -3⎥    ⎟\n",
       "⎜⎢              ⎥    ⎟\n",
       "⎝⎣-1  0   0   2 ⎦    ⎠"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Прибавим ко 2 строке 1-ую\n",
    "# Вычтем из 3 строки 1-ую\n",
    "# Прибавим к 4 строке 1-ую\n",
    "A261 = sympy.Matrix([[3,-3,-5,8],[0,-1,-1,2],[-1,-2,-2,-3],[-1,0,0,2]])\n",
    "A261, A261.det()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAARMAAABkCAMAAACSJyRHAAAAQlBMVEX///8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACGKEuzAAAAFXRSTlMAzUSZq1TvEGYy3Xa7iSJsYK9AMHz2s7cdAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAIcUlEQVR4Ae2d59rrJgyAsY33aE9b7v9WyzAgloNina/p4/hPiCPWayGmHMbc1bRncBb64u6XDw8sprx3SnksYy565xjMYp/kZRHlhD/qnirsxMWtMu2u9iCZfnCkZnGAH34uOKusxjfznu4xYcOUVHQE91Imx753G15vkNEG0TRLXoldeWfw+9y524zdZdKmisAbn37CZFSZT6L3IlUhbLRlEcvutDWTxci7RniBBer7XSaMb1GOswBakDBZFY5RAGxR9PxXbDRYxXyKjK2eyUrL5IifeQPrmzBpB0UMzQQbDcdknhoY4baesG0JHkQP1YQlTLRsL1IrFCSS/4KIBquYTwzqyc6Imcxihbk2AaIsk3Z5CwkmGp/WtdOdDyxbGHZtZz2ombBtAHlFhDJM5pXzF6UF6bkgLtomzecRaKxLyAUsk0M+IWI9YT20KNwbLpV5hom8G8RwZXwZwEaLWnWcvmWyyx+omUCLOYqwG8ozYUNILi6t7Jnk6MJdTquK0fLiXTpOgDmdTCY1siNnwoUrdTzySJjMWnSDqgXLWQojo2267+t8uXLpGiaHtobkTFqh1E9fW6QAMZNRaAEsE2y0QRv6F/MWw6Tl6hIDd3W4PY7VJIS1sqMIep2MPRl0L1lsBCfa5AMZzdRvCNtxnKi1J+q+Sf+UuD8+kQltVkknrzEm/VhP2KS6YcRAwxYTF+1QM4jVT0XPVMIPyCQwgyRMVouCx91fwoS1XffOHBAZ7eg63vnpTAhDf+PbIBZuhlZy6iM2P8oiYTLbsfoQz7JTJpnifdotEiZMGBaJOSmMTz4NQlQeGiaNaTN90CxVTg/Wk87MeTprVxz4BzOZhO5im2Qo9mAmsxmhDLZP/uqJWjjTRtYMUh2QZ9sT2fHImdRxdj8AyoPbDltUx9PHI/tH9zusUauJqx26eUV5sp5w1QvvyfDkyeMT1qnOmJse2WtJtu3s+9q9s0EHt6hgFoVwlbicFjWbW/yxKdGMY42KbALupukc0rbTqP2dBQsl2qKypS99VoofalS1x/NWmvUTlbBc2WoqmEx6gWW/XtnIVhVO7bMC4c0aca5nzoNd/bEJEOnJqrqcJhnap/Zk0wPePlqOs6W5+qypJIhfI26Wtni8bEvEZFJMlgomRpXaZBIAalMI1lQSRK0R51ppwXKyiU/GRCrgEu5+qQxiezJaJmrdDHfVVBKkWC++xIs+REx6NYQd0i3PmMlhVCnaGQNVKQfrK6nTqBZPy0LJRCCY+FXyMoXwl+pKmmjV4kvSWRIxaZWeCPFHWA3G/hJ/B7dGoydt2soCsdye11UlM3teV+Iwry5Bwv6JGxOUrw//pabEQvwZx4iZMGNPsLucKtnaSp5FqBSfUiTETJLjR7E9YZsemUyf0RfLaatqw0c0giRqO/LMp9KT10wmPUDq4Lmd88G++qh88DaZKvFZm7U12vT4aSZsUWP7IZlj2KqUP6sq6aPXiB+L3GzqzCjFx6Qa21frCRv3dX3j/AncogLFLwXrxOVWl7pipcXpiZ1syortHTjKJ8dmlW2nVIlPuo9gAiab2lhzYD2eykQ+yrOR6o1wOYbwD/fLxEz1v0y0Tpx60gp1hq4D87ivnshVRrF2wJw81sZ6e6LW1UQDR39fPZFD4mMTcB1TM+l+QUy6sY1TNEb0ZvlzQ+rAbP1l+x3VF/cCnI0af/1S82LYnHSqyXynPq//ThIxPpGFPJkYGND74PFtZzzXF7jXsf85Ez39cm5hoZ68avxWT4zd2Lz5eIOJnSfUtZH87lQxLlI8dAsLmLz0NbLjk0bBm/xJQXRfDOYJxXrBHwq7U1AEhpHiLHQLC5jI3640xU82Zy7n2DfngCdfWJVyuLA7VYqAFGd608klFjJh/RUTFykNvNF2UEwKu1NpQcwdpPg1E/xyuinE72ZS2J0qMUGKXzIZgYko5Ze9/7uZmEyT3alsWdzNevHQLSxsO75zdQnXBX6ESbo7dVk4hHjoFhYyuczj6scfYZLuTl0ViSHFvbPnDzHBbkpl5Flmd8oyIRCXax/2fAEtE9g96/JezHdQ/Y5MLLc7ZZlkPjHikVsYLRPMHBDJJLs7lWFx3kKJR25hdEzUuYLfxyS/O1VkghM3IxDnFkbERO+hL6/PFYBKoPSksDsFkguCWHG19uHdwv4rJn6eEFSm9KWwO0UkzkK3MEom+uBwWMwLGxsKftI3IiZy0U25SibD4CczmQyTZLr0ZCb6LCivOB/7SW2kVBaitqPPDOsD5mFGT9aTTrkfrF8fBKgRutn0yUmO5HwsjPOxYaK2o7uc0ysQ1vXJbUd7jJ5egV8mhoDxGNVegRDJk9vO+X4S7RX4ZWIInJaEJ5PAC3tSueeFdAujEKexsZPpcdZk0FZiUr3nhXQLIxGnYbJbdwtwxE1rUImJ/LFqrQDpFkYjTsPEvh8pcbq+ywTpFkYjTsNkOc/PL3aZ1xrau0ysC1SygGczCD9pxEmYjPYlU3tsZG8yQbqFEYmTMOmtY3FrA/bx3WSCdAsjEidhwt3idOyXSsUkWZix0INPx+SeOAkT/2qp+NV5lklmU6qm36l1CzvJEIlTMJl9iwGv9NPltEyCx2m+1DDBuoUZG1vtRVYQp2CiX4x81jpqPHeZIN3CaMQpmDTAuX2Fp2ZT/2KgL1V6gnQLoxEnYCLf6w+q6tuRunlXT7BuYUgvsrw4AZPwNbp74P5YZFK754V0CyMRv89kDDXjtP2n5hSZAM36uOB9Jms0ng/sxEOZDLHX8gDMyzOZBGqhm0EPFOeRTMZ41iexgL+LeCQTUH9vK/07/Z/IpAU+PJ7J7O7K85DqCs9ue8GPCxH8TxNbklN9upqt9dgY9R8f/c/+p8m4Cr/7vEaI5F9heG8Zr3zeEwAAAABJRU5ErkJggg==\n",
      "text/latex": [
       "$$\\left ( \\left[\\begin{matrix}3 & -3 & -5 & 14\\\\0 & -1 & -1 & 2\\\\-1 & -2 & -2 & -5\\\\-1 & 0 & 0 & 0\\end{matrix}\\right], \\quad 18\\right )$$"
      ],
      "text/plain": [
       "⎛⎡3   -3  -5  14⎤    ⎞\n",
       "⎜⎢              ⎥    ⎟\n",
       "⎜⎢0   -1  -1  2 ⎥    ⎟\n",
       "⎜⎢              ⎥, 18⎟\n",
       "⎜⎢-1  -2  -2  -5⎥    ⎟\n",
       "⎜⎢              ⎥    ⎟\n",
       "⎝⎣-1  0   0   0 ⎦    ⎠"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Прибавим к 4 столбцу 1-ый * 2\n",
    "A261 = sympy.Matrix([[3,-3,-5,14],[0,-1,-1,2],[-1,-2,-2,-5],[-1,0,0,0]])\n",
    "A261, A261.det()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left ( \\left[\\begin{matrix}-3 & -5 & 14\\\\-1 & -1 & 2\\\\-2 & -2 & -5\\end{matrix}\\right], \\quad 18\\right )$$"
      ],
      "text/plain": [
       "⎛⎡-3  -5  14⎤    ⎞\n",
       "⎜⎢          ⎥    ⎟\n",
       "⎜⎢-1  -1  2 ⎥, 18⎟\n",
       "⎜⎢          ⎥    ⎟\n",
       "⎝⎣-2  -2  -5⎦    ⎠"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Разложим по 4-ой строке\n",
    "A261_1 = sympy.Matrix([[-3,-5,14],[-1,-1,2],[-2,-2,-5]])\n",
    "A261_1, - (-1) * A261_1.det()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left ( \\left[\\begin{matrix}0 & -2 & 8\\\\-1 & -1 & 2\\\\0 & 0 & -9\\end{matrix}\\right], \\quad 18\\right )$$"
      ],
      "text/plain": [
       "⎛⎡0   -2  8 ⎤    ⎞\n",
       "⎜⎢          ⎥    ⎟\n",
       "⎜⎢-1  -1  2 ⎥, 18⎟\n",
       "⎜⎢          ⎥    ⎟\n",
       "⎝⎣0   0   -9⎦    ⎠"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Вычтем из 1 строке  2-ую * 3\n",
    "# Вычтем из 3 строки 2-ую * 2\n",
    "A261_1 = sympy.Matrix([[0,-2,8],[-1,-1,2],[0,0,-9]])\n",
    "A261_1, - (-1) * A261_1.det()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left ( \\left[\\begin{matrix}0 & -2\\\\-1 & -1\\end{matrix}\\right], \\quad 18\\right )$$"
      ],
      "text/plain": [
       "⎛⎡0   -2⎤    ⎞\n",
       "⎜⎢      ⎥, 18⎟\n",
       "⎝⎣-1  -1⎦    ⎠"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Разложим по 3-й строке\n",
    "A261_11 = sympy.Matrix([[0,-2],[-1,-1]])\n",
    "A261_11, - (-1) * (-9) * A261_11.det()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAABMAAAAOBAMAAAA/Njq6AAAAMFBMVEX///8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAMt0Qq5nNdrvviURUZiKjDJpDAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAcklEQVQIHWNgYFRmYGBevnQDA4NJ2GcGBlYGBh8GBgZ2IPMuA4MZlLkCwdzfzBALFWX5X3oAymRY/+0BlMmzrv83lHmVgeenAcSwyQwM7w+AmcwfGBhYLkBE5zEwcAD1gWzbZsBwHSjR+cmdgdE1dAMDAIFdJahzuJm9AAAAAElFTkSuQmCC\n",
      "text/latex": [
       "$$18$$"
      ],
      "text/plain": [
       "18"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "- (-1) * (-9) * (0 * (-1) - (-1) * (-2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAABMAAAAOBAMAAAA/Njq6AAAAMFBMVEX///8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAMt0Qq5nNdrvviURUZiKjDJpDAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAcklEQVQIHWNgYFRmYGBevnQDA4NJ2GcGBlYGBh8GBgZ2IPMuA4MZlLkCwdzfzBALFWX5X3oAymRY/+0BlMmzrv83lHmVgeenAcSwyQwM7w+AmcwfGBhYLkBE5zEwcAD1gWzbZsBwHSjR+cmdgdE1dAMDAIFdJahzuJm9AAAAAElFTkSuQmCC\n",
      "text/latex": [
       "$$18$$"
      ],
      "text/plain": [
       "18"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "deternminant([[3,-3,-5,8],[-3,2,4,-6],[2,-5,-7,5],[-4,3,5,-6]])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left ( \\left[\\begin{matrix}2 & -5 & 4 & 3\\\\3 & -4 & 7 & 5\\\\4 & -9 & 8 & 5\\\\-3 & 2 & -5 & 3\\end{matrix}\\right], \\quad 4\\right )$$"
      ],
      "text/plain": [
       "⎛⎡2   -5  4   3⎤   ⎞\n",
       "⎜⎢             ⎥   ⎟\n",
       "⎜⎢3   -4  7   5⎥   ⎟\n",
       "⎜⎢             ⎥, 4⎟\n",
       "⎜⎢4   -9  8   5⎥   ⎟\n",
       "⎜⎢             ⎥   ⎟\n",
       "⎝⎣-3  2   -5  3⎦   ⎠"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 262\n",
    "A262 = sympy.Matrix([[2,-5,4,3],[3,-4,7,5],[4,-9,8,5],[-3,2,-5,3]])\n",
    "A262, A262.det()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left ( \\left[\\begin{matrix}2 & -5 & 4 & 3\\\\3 & -4 & 7 & 5\\\\1 & -5 & 1 & 0\\\\-5 & 7 & -9 & 0\\end{matrix}\\right], \\quad 4\\right )$$"
      ],
      "text/plain": [
       "⎛⎡2   -5  4   3⎤   ⎞\n",
       "⎜⎢             ⎥   ⎟\n",
       "⎜⎢3   -4  7   5⎥   ⎟\n",
       "⎜⎢             ⎥, 4⎟\n",
       "⎜⎢1   -5  1   0⎥   ⎟\n",
       "⎜⎢             ⎥   ⎟\n",
       "⎝⎣-5  7   -9  0⎦   ⎠"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Вычтем из 4 строке  1-ую \n",
    "# Вычтем из 3 строки 2-ую \n",
    "A262 = sympy.Matrix([[2,-5,4,3],[3,-4,7,5],[1,-5,1,0],[-5,7,-9,0]])\n",
    "A262, A262.det()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left ( \\left[\\begin{matrix}2 & -5 & 4 & 3\\\\9 & -12 & 21 & 15\\\\1 & -5 & 1 & 0\\\\-5 & 7 & -9 & 0\\end{matrix}\\right], \\quad 4\\right )$$"
      ],
      "text/plain": [
       "⎛⎡2   -5   4   3 ⎤   ⎞\n",
       "⎜⎢               ⎥   ⎟\n",
       "⎜⎢9   -12  21  15⎥   ⎟\n",
       "⎜⎢               ⎥, 4⎟\n",
       "⎜⎢1   -5   1   0 ⎥   ⎟\n",
       "⎜⎢               ⎥   ⎟\n",
       "⎝⎣-5   7   -9  0 ⎦   ⎠"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Умножим 2 строку на 3\n",
    "A262 = sympy.Matrix([[2,-5,4,3],[9,-12,21,15],[1,-5,1,0],[-5,7,-9,0]])\n",
    "A262, A262.det()/3"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAPgAAABkCAMAAACcqw0BAAAAQlBMVEX///8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACGKEuzAAAAFXRSTlMAzUSZq1TvEGYy3Xa7iSJsYK9AMHz2s7cdAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAIbklEQVR4AeWc2YKlKAxAXXBferpn+P9fHQiLEBDicquq9T5UIUbMYTcBisL+ykoFBw4/Zm/8sMCo9Duu1Tp2sYdqQzrwpRc/nQ0x0e+Nk8r1jJ9QYjGI7rNNa7Jj4Kt743x4kI92NyWG1OjPgBdtj5IR+m1xIfha1+UMGMFzqYiWl+UYr174saHGMeH1uiz1bOrhOfAqLFNW2jcF4KusIQs377SCucA48nEx9SgtPMYqof9IJ/Om542KPQdesNlPtBgcrACcgfJti57JXuZhTBITAXySzB3XBXQSfDUZZ95cbgUuMgE1y5ZLcoajzbO7/8ngQ1/mZatWVrmL4MU8euo2ToGH4AyEGT/ayvMwWomlIICDbMN193SyxAXc5JKXbj4EJa4kx8P9KOunqSbk1rRSwavRdMtnwYvZbbF+NsTBfRk313bDs2ghq1uX4pKrgCGV+DAxZvLxNHjjtnIGjdioFQcfCQOOScH9jxqVe0uHF/GfBC7krNqnwW0vIVLruNfJR8HrPHcnBm37MyVT1Lk+sZddKRW8UB2tHNfEU6d+Tl9lB0eVUAy8z3MHWswwUtSZPnGFzoYAPkBezrqmngevuKxi8Ju9mh726qKGSdkVjXL66d1/rR4MdgXgRsXkj7fMqhOX7zhoeR284KZ767jbpxcR8AGUmmiTMKu3Imm9ZmRvokCbH/qUyPWqXsymDvZb2YM6QVVfx1r81GiOFE5drrJ5TPbbJyVa+L1MVLSXI9nlcVyqZHgZGnEC8FJ9ADuTu6hmQaT4tmE1pZrU4g2zN7EI0hIRlcj9ix8pkOxgZn8t6iAD8JgW3x13vnMT014FjJt4pI1/N2Xk/VfAS1XFG9y+Hl/itZqv16atm3x9PHjPYQwp3cmrhH88+KBG8tYMa68pcTEXkqxqRmSoxf/Hl7hAFpPQVXfuG/nzwUfZrTdowvqGEi+lHWcy8xhb5M8vcSYHsgUP4y9o47Ucz5ga1Gx5p6v6kPUPGAnP/O+kHguaZ2L3nLhlmWrzaXxl5qYKe+bYxrBb1TsmviaSHx2bhG/+d7QPgtszwS0/opR29VGTXwQXH1wlHVzoMaXBNwnf/O8TBFf5VMUjPVgNFv15fwl8kh16iWesyTaeV1FL+Ob/ANWPyKcq5GeYZzY65y+B9xJ8/Aw4kFmzgc8ZXJHAVc2sLtvcxNt7OWcdfdeCiN5t4+JeXkVHYjP/B6h+hPOMf8O56gy4cilcKvFGTtpa45SxL7kJ3DX/27TjAQr4qmqm8WtcB+efAheM1vwf57Wxh8CVDfMSeCVLnPNfVgEV+MP/VYGIhyCvoidhbKLoDfjSewbf1NedKvFKt8z/lPloRzgT/Ud+mHH+DxKz4CheXuZV1BK++T+SkhuVT1VIqzZuKtEd4HqNgdXkjjaOzP827XiABD7DCN7fMZyJdV2yxD8BXvjm/zivjSWB9+AAqbWR+1Ib/yS4b/63iPEACbwY5ZS11d7IrwVnc8tHlrL8bxKe+T/Oq2O3Z5JiRbdM02n/uLes6kSJp1X7wrtHS9xbXfQicH9Z1XvA0bKq94CjZVWvAcfLqt4CHiyregu4/KzxFtkAeP3b2O/MYNT1SbuaEfve/7IUib9wWVX3+7f8OjsyZSW+6/Ni9HE8sqzqHVU9sqzq0+Awrf6SHQr5tuktqzoATjT5+1WcvEOBmPquQ8GuYvff7155/iIqONnk775JhGk7FMipJxwKuQ0gaFkVFVww0D4cEXh+0Z5+gJR60qHQ5Cu7o9zfBZ50KCgLpMOWDP5d4MaurkZffzjrUjaCMA8+Dk7coUBqSEmHAn02A7nwaXDiDgVaD3KnQ+HT4JC7+R0KB8FvcCjcDB7xPwj07A4FIUPp1ZFDwW/jkMX0Pxoc7yCM2dUpquEX03YoyKdIqfsOhTvAKR8pJNUQOW2HAhn8XoeC9JZ+Clw1RsoOBVK23uhQAKfhSPKWklRDJU7foUBL/T6HAhmcavIPyEk7FKipX3IoeKoBOKzy86JjnZsn8BMuLnVujVwKMh9aCvITmEGHS+CwBmY+tPjnGeCw3Iup8dEhen5VX+T6XVjX6WCnVz15gt95camq19IeM3lGGcny/BKHWt68cNk2dOh6Z4pTbZ9f4rD/SO9MeRW42n8EO1Mc7ue3cb0kC3am0MBpHoL1K3xvV3p13boZ/krZb+M0D4FYIgs/sz/dzdRkWO7VTpmJdx0KyVTDm73qzyc8g9kHp3kIlpLJ/ebyY+rIrxuFqXRose92SyLhUNiEKKHFrAdGG8P3wWkeArXVAz5KKWoYGQY1ZMYbRcztG3comOMW8I67q+CqpGmZZLGEvxryf9ldnJt0KDjp5IOjXhY6ogNLroLDmxe9AjGvhpbQZ7JMeKerTSDlULBClEBnTsdYUO+WAKd6CIqVdCSGp6YpcWz71EJJh4KXUO6iMRvOKhPQT+yDkz0EBdtRP6GUbuOoFOwD9zkUmLUyopPa9sFBC4qHYN1tqRYkCHTy2LJh0woJWPDLDoXtTAx0OI8FP+8hWNBAgSDgMki9q6el2W3jtzkUhq2CO4cASZUsOFaX7iEYjzdx/bJa97j43XiHwvmZG2wF1Mn7dX0XnOwh6LZMDQHSMeVult3lUCidGeXkHYGzC072EFR4MpiGVXfhfNR1dzQrbnIoiFNnHW28EtoFJ3sIGi9x5z2p4CQ3Ks8JT/c9DgX/7LrFbVm74AX1DKO1PThPhwxZxLmrqVHwFocCaoW6y1QFsg+eKrAvvne2c5vQNNX1Xj0avMUfQe3W5J8M7hawqqPNVgUeDN5FJsTbqcQPBt8gnS7JnvX6XPAqepzgYGLF0hj5O2xJcDLxo8HTJ+oXY3y0rLS5q4Mj63/4ifqwhfNg/nYu9/+ma2jnGu1ViwAAAABJRU5ErkJggg==\n",
      "text/latex": [
       "$$\\left ( \\left[\\begin{matrix}2 & -5 & 4 & 3\\\\-1 & 13 & 1 & 0\\\\1 & -5 & 1 & 0\\\\-5 & 7 & -9 & 0\\end{matrix}\\right], \\quad 4\\right )$$"
      ],
      "text/plain": [
       "⎛⎡2   -5  4   3⎤   ⎞\n",
       "⎜⎢             ⎥   ⎟\n",
       "⎜⎢-1  13  1   0⎥   ⎟\n",
       "⎜⎢             ⎥, 4⎟\n",
       "⎜⎢1   -5  1   0⎥   ⎟\n",
       "⎜⎢             ⎥   ⎟\n",
       "⎝⎣-5  7   -9  0⎦   ⎠"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Вычтем из 2 строки 1-ую * 5\n",
    "A262 = sympy.Matrix([[2,-5,4,3],[-1,13,1,0],[1,-5,1,0],[-5,7,-9,0]])\n",
    "A262, A262.det()/3"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAANoAAABLCAMAAAAh+WkPAAAAPFBMVEX///8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAo1xBWAAAAE3RSTlMAzUSZq1TvEGYy3Xa7iSJQQDB8rw0HegAAAAlwSFlzAAAOxAAADsQBlSsOGwAABhlJREFUeAHdm22jrRoQgFVK6eWee/3//3q9DUOU0t7rrNaHlSLmMQyGCHG/pjXBSegfdRG/HeBGgBvFbpyl3uqAZRLrKH8WNJX0h5+p0kcq7pSyAgR+uR8AeBIbjvhQeLyFRoZxJy/zz47QprTGUXaQYlvXbinVPLyE8rmJ1u71QhuXbRaN0a4RoFuXHAd8CtbJ56PocWwm7F/CCW6iEbrgXGR4Er6Cs2gy3XyM5lPMiooJX2FRgeFtItu7aFtcnQ2S4RG0dlB19QE0svCg2nqkNKnBvBlJVG+QUajXXuw7dZTc3Cayvas1Kf6My2gw6WNoLS8kS7Xz22hkGRBaCPoQ2jRTOqFCjoJPao30uLfRwDg8hCZRgkJ+DQ33cCYCg+nQWMP9zyggUb2RyEGKIaizKCW6DV4yz+83SEKFay3R8OPQUNkQTMgAUfZqU0w69wW3jSghvk1kW4HWihUyX8K6fQKNCZ3nZ9CIAEPCBLaPavh+wPgPep76mQZJFmiRo9ef1uMjaKOy+x8Z12S5MxBRPF7LiDwaXQbBaTAi6srwfz5F23Wl02P/ks9Izj/RzcXgBLOgIcokj3axhKrkNWhEGKS4qx1orUrWiy9XoTWmIfbhqHbUIC9KV5W8Cq0z88gO+hxI8oIGOQptoJt4WH0B2mRGtgEGgRdpTc4YFI2ZNwCXvL5AaxJKTjs2ayg92xvQuDKRfTTNeofWGrW+n2Hkdmp7g9aoMvtrPKw92Nf0woblJ9uuNhOBqnGNdMr6UzMEoMxTWkv4QNEbueAgGrmaPfRcmlcT2V9Gm5TnE35aYYvAj1TUDi3tA4VcDq6cC76ekqWzv4zGsbt/Vd2sOUeTwieWwQdIEIULg2fJayL7q2hzgDYr49jE86y91qQ0ibKTMoYPfxFtGhtc2qjQ+DvQVhKhSR8CD52tstp3fe2+1sZ57px3KdRocJdoFNca5LyFaL2aiAw75/VzaIs0IVu0hg+Q4KYWbZMDdKA1jSZ+EE1LHm0vAE1wrUVTzrkArVVaE/Ga5n6DTLhkZZHdgYMM+CrRRjUrCNDkfjyTaP9AAfb6R/wbPblpIRe9s9XFi6Zd5sns/zPujUTi3aNNO6ICtD8GLd65fKyvDdq/WbLfXqe1lqqfGKhzGsuWp83Ij6GZkoZgQ2FX5frBOdrpnIYYp67NX/c1/nNmZFNTuNmdbEhTlaEVbB0H0/xitKQP9EBSiNq6jnbn9Z3MPhrXzmbZ8gCBWLzzV6PpRRvIoq+pvhYk+JWbCI3051WE5OqV32cpmo2gt34pGKN5E1EiwGjQ4pf+Sq0x39hK0PTMnxYtakqyezZNpLXSDX8rhF6v6aV2INVfqbVAwvObTtnLOTCa6qU3oOm22L/So6WNo3WPIx2/QWt6I8O6x1+GZjYytHsckb2hr9kDENo9XoZW6DLdxkszB1y2D0fG30eUhGwvo/H8ON/XCl2mcvWuf3B6o0QYnUbu7FOolSq00djGOR6z82hlLlOyNlQK2fF4tXSCyLiccUyD9aNXoa3GTedOIkDJeTTs6YPUiatxR+slTSI2+4hqLS/WmV2FBqeM4g22ajSjrcJ68KSmEa3WcVCFxu3RLB75ZarRtLRrif/Rc6mDyno5PltXSg0ag0Naa2RHDtBKXabS/VjgNsBgMgxaMwe8a9B62H1qIWCLyqMVu0zl3pY/gR4RZG9tX7MVXYNGnQNyCK10Hk1LVeIylT7jLEE2gqlD5hOIVYPmj2ZFnkKHdt9lKu1/lsBF7LJn3bz2D/S1yTdDdOpTlevQnBA2UO4yJfx6V7OFdNa4VWhNfz5hswtbZBat3GXKfL3F9XN239hKqUBrUAebg92ULFq5y7SNZzhnQCpef4u1gRv9Ppr8SA0VF1RyFq3cZdoHuaOCjoKz2tBfwAlyHy082r/aBq5LzqKRQpepHNWGi/NHXfAqvwtzY8ZttKgzMFzLebSjOn867jbaHE2u8H7Cl6MN8WGRwXe970bDSjItqfdq/Go0Fk2IFZ3/EPGr0TwG6vzuY7NvRmuTu3kTPP3iT84Jd4MHUhohrfVKMP3J96c/OddfrgTyFdwwTPY/SPBCKkVMnsgAAAAASUVORK5CYII=\n",
      "text/latex": [
       "$$\\left ( \\left[\\begin{matrix}-1 & 13 & 1\\\\1 & -5 & 1\\\\-5 & 7 & -9\\end{matrix}\\right], \\quad 4\\right )$$"
      ],
      "text/plain": [
       "⎛⎡-1  13  1 ⎤   ⎞\n",
       "⎜⎢          ⎥   ⎟\n",
       "⎜⎢1   -5  1 ⎥, 4⎟\n",
       "⎜⎢          ⎥   ⎟\n",
       "⎝⎣-5  7   -9⎦   ⎠"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Разложим по 4-му столбцу\n",
    "A262_1 = sympy.Matrix([[-1,13,1],[1,-5,1],[-5,7,-9]])\n",
    "A262_1, int( -3 * A262_1.det()/3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left ( \\left[\\begin{matrix}0 & 8 & 2\\\\1 & -5 & 1\\\\0 & -18 & -4\\end{matrix}\\right], \\quad 4\\right )$$"
      ],
      "text/plain": [
       "⎛⎡0   8   2 ⎤   ⎞\n",
       "⎜⎢          ⎥   ⎟\n",
       "⎜⎢1  -5   1 ⎥, 4⎟\n",
       "⎜⎢          ⎥   ⎟\n",
       "⎝⎣0  -18  -4⎦   ⎠"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Прибавим к 1 строке  2-ую \n",
    "# Прибавим к 3 строке  2-ую * 5\n",
    "A262_1 = sympy.Matrix([[0,8,2],[1,-5,1],[0,-18,-4]])\n",
    "A262_1, int( -3 * A262_1.det()/3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left ( \\left[\\begin{matrix}8 & 2\\\\-18 & -4\\end{matrix}\\right], \\quad 4\\right )$$"
      ],
      "text/plain": [
       "⎛⎡ 8   2 ⎤   ⎞\n",
       "⎜⎢       ⎥, 4⎟\n",
       "⎝⎣-18  -4⎦   ⎠"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Разложим по 2-й строке\n",
    "A262_11 = sympy.Matrix([[8,2],[-18,-4]])\n",
    "A262_11, int( -1 * (-3 * A262_11.det()/3))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAAoAAAAOBAMAAADkjZCYAAAAKlBMVEX///8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADmU0mKAAAADXRSTlMAMpndq3ZmzYkiRO+7EDr+BQAAAAlwSFlzAAAOxAAADsQBlSsOGwAAAD9JREFUCB1jYGBgEAJiBgYTEMEKJsVKQOwGEMk6AUROYwCRDSCSbQKInMoAIpe4uNz2AEowbAERDHdAhPrdowCHcQzAI1BqtQAAAABJRU5ErkJggg==\n",
      "text/latex": [
       "$$4$$"
      ],
      "text/plain": [
       "4"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "int( -1 * (-3 * (8 * (-4) - 2 * (-18))/3))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAAoAAAAOBAMAAADkjZCYAAAAKlBMVEX///8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADmU0mKAAAADXRSTlMAMpndq3ZmzYkiRO+7EDr+BQAAAAlwSFlzAAAOxAAADsQBlSsOGwAAAD9JREFUCB1jYGBgEAJiBgYTEMEKJsVKQOwGEMk6AUROYwCRDSCSbQKInMoAIpe4uNz2AEowbAERDHdAhPrdowCHcQzAI1BqtQAAAABJRU5ErkJggg==\n",
      "text/latex": [
       "$$4$$"
      ],
      "text/plain": [
       "4"
      ]
     },
     "execution_count": 43,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "deternminant([[2,-5,4,3],[3,-4,7,5],[4,-9,8,5],[-3,2,-5,3]])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left ( \\left[\\begin{matrix}3 & -3 & -2 & -5\\\\2 & 5 & 4 & 6\\\\5 & 5 & 8 & 7\\\\4 & 4 & 5 & 6\\end{matrix}\\right], \\quad 90\\right )$$"
      ],
      "text/plain": [
       "⎛⎡3  -3  -2  -5⎤    ⎞\n",
       "⎜⎢             ⎥    ⎟\n",
       "⎜⎢2  5   4   6 ⎥    ⎟\n",
       "⎜⎢             ⎥, 90⎟\n",
       "⎜⎢5  5   8   7 ⎥    ⎟\n",
       "⎜⎢             ⎥    ⎟\n",
       "⎝⎣4  4   5   6 ⎦    ⎠"
      ]
     },
     "execution_count": 44,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 263\n",
    "A263 = sympy.Matrix([[3,-3,-2,-5], [2,5,4,6],[5,5,8,7],[4,4,5,6]])\n",
    "A263, A263.det()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left ( \\left[\\begin{matrix}3 & -6 & -2 & -3\\\\2 & 3 & 4 & 2\\\\5 & 0 & 8 & -1\\\\4 & 0 & 5 & 1\\end{matrix}\\right], \\quad 90\\right )$$"
      ],
      "text/plain": [
       "⎛⎡3  -6  -2  -3⎤    ⎞\n",
       "⎜⎢             ⎥    ⎟\n",
       "⎜⎢2  3   4   2 ⎥    ⎟\n",
       "⎜⎢             ⎥, 90⎟\n",
       "⎜⎢5  0   8   -1⎥    ⎟\n",
       "⎜⎢             ⎥    ⎟\n",
       "⎝⎣4  0   5   1 ⎦    ⎠"
      ]
     },
     "execution_count": 45,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Вычтем из 2 столбца 1-ый\n",
    "# Вычтем из 4 столбца 3-й\n",
    "A263 = sympy.Matrix([[3,-6,-2,-3], [2,3,4,2],[5,0,8,-1],[4,0,5,1]])\n",
    "A263, A263.det()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left ( \\left[\\begin{matrix}7 & 0 & 6 & 1\\\\2 & 3 & 4 & 2\\\\5 & 0 & 8 & -1\\\\4 & 0 & 5 & 1\\end{matrix}\\right], \\quad 90\\right )$$"
      ],
      "text/plain": [
       "⎛⎡7  0  6  1 ⎤    ⎞\n",
       "⎜⎢           ⎥    ⎟\n",
       "⎜⎢2  3  4  2 ⎥    ⎟\n",
       "⎜⎢           ⎥, 90⎟\n",
       "⎜⎢5  0  8  -1⎥    ⎟\n",
       "⎜⎢           ⎥    ⎟\n",
       "⎝⎣4  0  5  1 ⎦    ⎠"
      ]
     },
     "execution_count": 46,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Умножим 2 строку на 2 и прибавим к 1-ой\n",
    "A263 = sympy.Matrix([[7,0,6,1], [2,3,4,2],[5,0,8,-1],[4,0,5,1]])\n",
    "A263, A263.det()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left ( \\left[\\begin{matrix}7 & 6 & 1\\\\5 & 8 & -1\\\\4 & 5 & 1\\end{matrix}\\right], \\quad 90\\right )$$"
      ],
      "text/plain": [
       "⎛⎡7  6  1 ⎤    ⎞\n",
       "⎜⎢        ⎥    ⎟\n",
       "⎜⎢5  8  -1⎥, 90⎟\n",
       "⎜⎢        ⎥    ⎟\n",
       "⎝⎣4  5  1 ⎦    ⎠"
      ]
     },
     "execution_count": 47,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Разложим по 2 столбцу\n",
    "A263_1 = sympy.Matrix([[7,6,1],[5,8,-1],[4,5,1]])\n",
    "A263_1, 3 * A263_1.det()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left ( \\left[\\begin{matrix}12 & 14 & 0\\\\5 & 8 & -1\\\\9 & 13 & 0\\end{matrix}\\right], \\quad 90\\right )$$"
      ],
      "text/plain": [
       "⎛⎡12  14  0 ⎤    ⎞\n",
       "⎜⎢          ⎥    ⎟\n",
       "⎜⎢5   8   -1⎥, 90⎟\n",
       "⎜⎢          ⎥    ⎟\n",
       "⎝⎣9   13  0 ⎦    ⎠"
      ]
     },
     "execution_count": 48,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# К 1 и 3 строке прибавим 2-ую\n",
    "A263_1 = sympy.Matrix([[12,14,0],[5,8,-1],[9,13,0]])\n",
    "A263_1, 3 * A263_1.det()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left ( \\left[\\begin{matrix}12 & 14\\\\9 & 13\\end{matrix}\\right], \\quad 90\\right )$$"
      ],
      "text/plain": [
       "⎛⎡12  14⎤    ⎞\n",
       "⎜⎢      ⎥, 90⎟\n",
       "⎝⎣9   13⎦    ⎠"
      ]
     },
     "execution_count": 49,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Разложим по 3 столбцу\n",
    "A263_11 = sympy.Matrix([[12,14],[9,13]])\n",
    "A263_11, 3 * (-(-1)) * A263_11.det()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAABQAAAAOBAMAAADd6iHDAAAAMFBMVEX///8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAmasQ3XYy7yK7zYlEZlRwlz41AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAlklEQVQIHR3LsQqCUACF4f8mBnb1altjELQHQUPDDaK1ralFXFqF1gbfwPsCgU8QNjS19DLtgehSSuqZPg7ngBjPQD4mYO04JdxYJgxinMDbIA1+hvw4U1SBNtiVH+A2ffvTLet+W6c5wxLrQtR0/MLi+K50jlvSRhTtTTUdR8YxeAXqTBp6MSLD3nKFPasQnvcXrA9z/sNAJZtdmoYhAAAAAElFTkSuQmCC\n",
      "text/latex": [
       "$$90$$"
      ],
      "text/plain": [
       "90"
      ]
     },
     "execution_count": 50,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    " 3 * (-(-1)) * (12 * 13 - 9 * 14)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAABQAAAAOBAMAAADd6iHDAAAAMFBMVEX///8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAmasQ3XYy7yK7zYlEZlRwlz41AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAlklEQVQIHR3LsQqCUACF4f8mBnb1altjELQHQUPDDaK1ralFXFqF1gbfwPsCgU8QNjS19DLtgehSSuqZPg7ngBjPQD4mYO04JdxYJgxinMDbIA1+hvw4U1SBNtiVH+A2ffvTLet+W6c5wxLrQtR0/MLi+K50jlvSRhTtTTUdR8YxeAXqTBp6MSLD3nKFPasQnvcXrA9z/sNAJZtdmoYhAAAAAElFTkSuQmCC\n",
      "text/latex": [
       "$$90$$"
      ],
      "text/plain": [
       "90"
      ]
     },
     "execution_count": 51,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "deternminant([[3,-3,-2,-5],[2,5,4,6],[5,5,8,7],[4,4,5,6]])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left ( \\left[\\begin{matrix}3 & -5 & -2 & 2\\\\-4 & 7 & 4 & 4\\\\4 & -9 & -3 & 7\\\\2 & -6 & -3 & 2\\end{matrix}\\right], \\quad 27\\right )$$"
      ],
      "text/plain": [
       "⎛⎡3   -5  -2  2⎤    ⎞\n",
       "⎜⎢             ⎥    ⎟\n",
       "⎜⎢-4  7   4   4⎥    ⎟\n",
       "⎜⎢             ⎥, 27⎟\n",
       "⎜⎢4   -9  -3  7⎥    ⎟\n",
       "⎜⎢             ⎥    ⎟\n",
       "⎝⎣2   -6  -3  2⎦    ⎠"
      ]
     },
     "execution_count": 52,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 264\n",
    "A264 = sympy.Matrix([[3,-5,-2,2],[-4,7,4,4],[4,-9,-3,7],[2,-6,-3,2]])\n",
    "A264, A264.det()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAPIAAABkCAMAAACLiZ3IAAAAQlBMVEX///8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACGKEuzAAAAFXRSTlMAzUSZq1TvEGYy3Xa7iSJsYK9AMHz2s7cdAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAIr0lEQVR4AeVc65q0JgzG89l2v5b7v9VyMCGJqMwOz451/TGDECEvCRBCVCm8itInB+2uGgs+nBg9P+9wsY5d7PEKMA566c21dUCM9GfzLDN9rd9qdAFwtJamhY4Y9EoL7pHu34Os2n6Howt5FPIQ1wj5eCIZPJZGvixThZ3/LuRyL8e6AH4UQu7qqtAgeyzeJRLJ4LlU8qJRqhsB87uQVT0DA9v/oMPQRcimbEqAnE4GjabU2o+WegFG34a8atOF9CqCkIOUDUEKc+lk0GJKrbObcBro8rchq9n1IbCgGiLkm0DWleWuBNm8D3nQE+I1iYL2wC0UuwPI20z7PmQ1twQy74BbQF71YhlEzjJAbkBjbMU1jBh7cw/FRsgOuVIZICsdJqxOw7x4H8idl3IJAzAH5FoPDqD56anEbyJl5ccyKmMOyKXvRgt7Znp9D8VWs9O8HljLAVlpmMA6Tefru0i5d+xVMPyyQJ5Bs/sgb6fqt5ixlRqtwdnC6MsCeQKkNbVDDOgAuZ5bPdZsBXedIn4SyeCpRPJumaYaEGeZsQ2yTWlasS8LkIHJG/xnkbLSHqocykTKN4AKLOSBXHiFbviqTBUb2rvBfx7IlV/mKxjTAOzBit1rtz8ruCHyaCkPfmVuYbH6BVLu/PylwcD5BZDNlG08S+s2cQPgRyu2Gu2U3Qhz89mQC21cDhNYJCjmB8/YxjNg9t+LXJa/b4o467ADNyx2YZZEnnVZVXaVqv1SRfgiUmbec0IST7a6KMY0X7+tYK2qYkYjelelsbGXCl3NmSA7Ac9+L05aDJC595yQxJPjqMfl2tW/Pbxaq2ARWxpSsfNw1uB8zgbZbCyKY8jCe07YiSedZRMviuTWrnNa2LVLit65Nrus+2U7cxnfQCHtzTCWhfdcMrW7fw1y6+yBen9W5Ov15xS5IfcW8ngMGVzJoFw7jCLjNci188UQFxyvrdSzUYMKDgwzKXZvLc4RfIjYIoxl6T1HgqNE3U9TdTwfRR8bxWY9ENVaTxX2dibIjTW8Wrs4swsgoyv50i2yPW7Fsh7PR6yR7QZd85HCResCV7yckPU15M17HuEqkiVOuyIUNGt08zLNwXSzrLPGDswEubRS1vovbMUn/uh/XEJ6zwWZ6swijBfqc3U0H8XIq2PEvS1qNMQ2/Hs4ACRbp/d/7CZK678FEUCW3nNBtrud3YJSyb3oji5kOFjhlqU8VjwVzgsZp4itSRjL0nvOOIrctNsUHCmKZzV2xKw4XBlRt0m13maaTIptop2slA8hC+85Yyly44d8y863ImSYNbgHpgNzrfVdMW898kOQhfcceT1IrHb0TTD4DohC9jpW5vKrc8jFVFnYvuhhtfgW5LWX/XklZcW958jNUcLsE+pKNnJEbMw+d4FFuaMbatMj39pW4H7FrMLuCkbtJeQdG5/LeEHKYb+yFLbbKnvUs10PhRz2K34JdAPu2ZDDfsVLl5r+T5Uy368saCUZST8Ustdh2K+sbNF8MmTcr9Q46duueDJk2K+s3DZ3kKsvafF1uwXcq8pHf1e5xT3nBvcrC1/3u68vu5MKq5avBm3s81p/tvSFddkwFvYrIxvKz1XssF/phMv6/zuWz61asl8phf/2GnKa635dlmpmE+Op0ieSczKm2N3uUIk2SPcrjXBmXkJOc9131q4TEYKUBZFOJBdkDLI6PROh+5W15TPVFeRE1/1kJ8DzjqeoE8kFGYesmnPVpu2x9BXkRNd92VqlPtU12mwiuSATkF/yQJLWryC/4rpvdo5S0tA+mUgeyDjkDjwH+5rPcy4gv+K6L8eXTIVEckLGIb/UGO2EC8jprvthqkPoIW0hnk4kZ2QccrzehNxUyCkDBwOnE9o1JInkgexnIF+57jk4vzHneSd3ieRIlheyNCLQxvbTV+jpAwSD24PPO1v9PXJRa17IfLEmEUEi8P0Aggkfs4tkKuREckmWD7I9eTyEnOi6b51zCVXwoGcwO5FckGWC7I7hxt2Cioqd6Lp3IQ5hBUVsB4lEckH2U5ATXfel8RW/sK1IJOdkOSG7eDcmkCBllv3Zm0yQzemtnXak8fZkyC5WZBY7SjJjf1auvPVMUnZBULXwGzwb8mI3fC6qkfXokxW7shGrU76wVdZxmW8yKbbT6Wa3t3+ylN1kvb1hQYTyZMju3ZntDYtfAtm/O+PesCCIQ9gqzfx0Os9Y3jYr7g0LiujBir2N4lruKwJkjDOhPXKWXsxFT7DPaBX3ze9IeeN5pNz7uXqStghCDnEmO36iGetovA2HUU3yEeGbl8Wi8TyQF29q4ku90ChCDnEmUHT+X9hjC+9XOCd0pcI3L58QjeeBDH4M+W4YQva7/sO4eMkkftxGFsTvhW9eEonG80AenQPHBqHzQ3WEfBEXL5ksQkSZLDq8P/YsiMazQO7g+wuLmL8QsmcU4kwO2YYCXQzmC13SeQil0X/im4+WG3Fs+VkgN3DaXEJiq51DxjiTOE8h1xzE2UMEcdQXyvcp5pvfF5uc0HgWyDX6+cSLOxwyxJlEWaKZmxlXJcet2ocvPMah8SyQw1cXRNQ4g4xxJhSdT8swev++aI/vBognJLkvPnWMksZzQB6COpMPyVg+KOQQZyIARG5HF3zTi5khQuizhG8+QkcbzwHZLYtbO1yzCeQQZxLhSGb5F0kOpSzIpW9eFJtb1ngOyHRJmZgyBsgkzmTP0S6ndLNrlbpUCd/8rjreeAbI5vuipJGg5CYTIdM4E0J8mJxNlV3yjC1887JW0XgGyPyrZstmlbh2ETKNM5EcRe8XE3afvKtQ3DcvKxSNvw9ZhIBt56q+WYQsufjk/fuQJ2Fk0s9EPhRy62Pwg9zaMLSfCZkK1cNugtgfCbmLmAvhm7OPhBzgBc1WGMb0RMhl1PIfINcECtmLvnhCeubnkxm+gq6siypylZunoHOfHb/ZV9Cd4RJhOi2ro4j/A+UDavSUer6VAAAAAElFTkSuQmCC\n",
      "text/latex": [
       "$$\\left ( \\left[\\begin{matrix}1 & 1 & 1 & 0\\\\0 & -5 & -2 & 8\\\\0 & 3 & 3 & 3\\\\2 & -6 & -3 & 2\\end{matrix}\\right], \\quad 27\\right )$$"
      ],
      "text/plain": [
       "⎛⎡1  1   1   0⎤    ⎞\n",
       "⎜⎢            ⎥    ⎟\n",
       "⎜⎢0  -5  -2  8⎥    ⎟\n",
       "⎜⎢            ⎥, 27⎟\n",
       "⎜⎢0  3   3   3⎥    ⎟\n",
       "⎜⎢            ⎥    ⎟\n",
       "⎝⎣2  -6  -3  2⎦    ⎠"
      ]
     },
     "execution_count": 53,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Из 1 строки вычтем 4-ую\n",
    "#  Ко 2 строке прибавим 4-ую * 2\n",
    "# Из 3 строки вычтем 4-ую * 2\n",
    "A264 = sympy.Matrix([[1,1,1,0],[0,-5,-2,8],[0,3,3,3],[2,-6,-3,2]])\n",
    "A264, A264.det()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left ( \\left[\\begin{matrix}1 & 1 & 1 & 0\\\\0 & -5 & -2 & 8\\\\0 & 3 & 3 & 3\\\\0 & -8 & -5 & 2\\end{matrix}\\right], \\quad 27\\right )$$"
      ],
      "text/plain": [
       "⎛⎡1  1   1   0⎤    ⎞\n",
       "⎜⎢            ⎥    ⎟\n",
       "⎜⎢0  -5  -2  8⎥    ⎟\n",
       "⎜⎢            ⎥, 27⎟\n",
       "⎜⎢0  3   3   3⎥    ⎟\n",
       "⎜⎢            ⎥    ⎟\n",
       "⎝⎣0  -8  -5  2⎦    ⎠"
      ]
     },
     "execution_count": 54,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Из 4 строки вычтем 1-ую * 2\n",
    "A264 = sympy.Matrix([[1,1,1,0],[0,-5,-2,8],[0,3,3,3],[0,-8,-5,2]])\n",
    "A264, A264.det()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left ( \\left[\\begin{matrix}-5 & -2 & 8\\\\3 & 3 & 3\\\\-8 & -5 & 2\\end{matrix}\\right], \\quad 27\\right )$$"
      ],
      "text/plain": [
       "⎛⎡-5  -2  8⎤    ⎞\n",
       "⎜⎢         ⎥    ⎟\n",
       "⎜⎢3   3   3⎥, 27⎟\n",
       "⎜⎢         ⎥    ⎟\n",
       "⎝⎣-8  -5  2⎦    ⎠"
      ]
     },
     "execution_count": 55,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Разложим по 1 столбцу\n",
    "A264_1 = sympy.Matrix([[-5,-2,8],[3,3,3],[-8,-5,2]])\n",
    "A264_1, 1 * A264_1.det()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left ( \\left[\\begin{matrix}-5 & 3 & 13\\\\3 & 0 & 0\\\\-8 & 3 & 10\\end{matrix}\\right], \\quad 27\\right )$$"
      ],
      "text/plain": [
       "⎛⎡-5  3  13⎤    ⎞\n",
       "⎜⎢         ⎥    ⎟\n",
       "⎜⎢3   0  0 ⎥, 27⎟\n",
       "⎜⎢         ⎥    ⎟\n",
       "⎝⎣-8  3  10⎦    ⎠"
      ]
     },
     "execution_count": 56,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Из 2 и 3 столбцов вычтем 1-ый\n",
    "A264_1 = sympy.Matrix([[-5,3,13],[3,0,0],[-8,3,10]])\n",
    "A264_1, 1 * A264_1.det()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left ( \\left[\\begin{matrix}3 & 13\\\\3 & 10\\end{matrix}\\right], \\quad 27\\right )$$"
      ],
      "text/plain": [
       "⎛⎡3  13⎤    ⎞\n",
       "⎜⎢     ⎥, 27⎟\n",
       "⎝⎣3  10⎦    ⎠"
      ]
     },
     "execution_count": 57,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Разложим по 3 строке\n",
    "A264_1 = sympy.Matrix([[3,13],[3,10]])\n",
    "A264_1, 1 * (-3) * A264_1.det()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAABQAAAAPBAMAAAAWtvJmAAAAMFBMVEX///8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAIpnNuzKriUQQ7912ZlSugimNAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAiklEQVQIHR2MMQrCQAAEJ0W4IgpBxEIRjmttLOz1CXlCsFIsEvAh3g+0tvEJfuU6ywg2FsK5dws7O9VCytInFm7TMMQYb8wwX857twoc4Y6FCTw8XR2ghRN0DRhVearTbOVPc8haWV2+szrRrJOOrVDtBF4UNddWVvaMPBcrXTin66GXbmP8wDzAH6VXHO8yslZVAAAAAElFTkSuQmCC\n",
      "text/latex": [
       "$$27$$"
      ],
      "text/plain": [
       "27"
      ]
     },
     "execution_count": 58,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "1 * (-3) * (3 * 10 - 3 * 13)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAABQAAAAPBAMAAAAWtvJmAAAAMFBMVEX///8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAIpnNuzKriUQQ7912ZlSugimNAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAiklEQVQIHR2MMQrCQAAEJ0W4IgpBxEIRjmttLOz1CXlCsFIsEvAh3g+0tvEJfuU6ywg2FsK5dws7O9VCytInFm7TMMQYb8wwX857twoc4Y6FCTw8XR2ghRN0DRhVearTbOVPc8haWV2+szrRrJOOrVDtBF4UNddWVvaMPBcrXTin66GXbmP8wDzAH6VXHO8yslZVAAAAAElFTkSuQmCC\n",
      "text/latex": [
       "$$27$$"
      ],
      "text/plain": [
       "27"
      ]
     },
     "execution_count": 59,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "deternminant([[3,-5,-2,2], [-4,7,4,4],[4,-9,-3,7],[2,-6,-3,2]])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left ( \\left[\\begin{matrix}3 & -5 & 2 & -4\\\\-3 & 4 & -5 & 3\\\\-5 & 7 & -7 & 5\\\\8 & -8 & 5 & -6\\end{matrix}\\right], \\quad 17\\right )$$"
      ],
      "text/plain": [
       "⎛⎡3   -5  2   -4⎤    ⎞\n",
       "⎜⎢              ⎥    ⎟\n",
       "⎜⎢-3  4   -5  3 ⎥    ⎟\n",
       "⎜⎢              ⎥, 17⎟\n",
       "⎜⎢-5  7   -7  5 ⎥    ⎟\n",
       "⎜⎢              ⎥    ⎟\n",
       "⎝⎣8   -8  5   -6⎦    ⎠"
      ]
     },
     "execution_count": 60,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 265\n",
    "A265 = sympy.Matrix([[3,-5,2,-4],[-3,4,-5,3],[-5,7,-7,5],[8,-8,5,-6]])\n",
    "A265, A265.det()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAARMAAABkCAMAAACSJyRHAAAAQlBMVEX///8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACGKEuzAAAAFXRSTlMAzUSZq1TvEGYy3Xa7iSJsYK9AMHz2s7cdAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAI1klEQVR4Ae2daZukKAyAUfE+dmd3+f9/dTk8QkJa0kXt1D62H2YUg8BbEQghtlLnUdX76Wj8oc87H34yhfq+Ustt6lPZm5PBaNbBHgeilPBHpbnKDtq8VKf1bD14TNudpEazgRsvnI4ub1/oYTf1GF5jorqBFNCDNMpkW9dmketNZ6pqSmslqYBNEJcygme/yqSmiqCrq5aESd/Ym4NpL5G8s2ky03qq310eYSm9bipzPfxVJkovqIKjAVpAmMwOR28ANpSduUy9o4yoTZaXMpdksuHfvILtJUzqzhF7NxN5KUWZqGWKfq8WqokiTLxsa2gvFD2EXsj0RF5KWSajmWETqghRkkk9iZEoPcxz4wcfWNhX57JSyjJRSweqhgglmIyz1qLG+acvtgvcIhUEhSZOpaUUZtLCHkWDvspWNcHEpkY5Eg3iktBryont6aJSCjOBPWZv4mEozUR1MTnauN5ORs7j1KqGDvwha1qcLSUhXpqJNmet8cyDMBm96AJVixKhKYsfzJqrICoCU+SllGZSm/Wo0IIUADPpjRcQM+l8z51riHyjlNJMlDl62d5Eo06iP+n8oMpq9cEW/x+gd/GLiYWua3kpxZksh04Pl8aECmI9UYMbhuXzk82ZBPNlW17NT57JSynOZD5QaDxaEiaqbprv2IBb0+jmMkmSJECisBS9dGbSxzzrZXvHVWQ85uodtrIpE1DxTz0twkSZwIJ0J8z85FNh7PUqw6QK70yLZieJPvbDcfjqlWHSBJunOfqVs+UPfncG44fYikzFHsxkDDOU7hiTf/TELZz5TjZMUk8g9uTBemIHHrukvu3DD4DyZCaTG3haPLN/tp5UbjVxPqZul6I8WU+0G4VXMj15dH/SuMFYhxH50pIv3h2JU2p0BqD0gE4sPu+6zg1xLpaZswUVWQypPPfuiJxSk3jRHjmxWCaVczZNGEoxJnYhrMpnInFKzXImFgI0/jkmg1/tWfGqTCEmsxtyKjK1Z/sTgVNqHCqxnmQyWfyDW7Q2aF23HERR+uCYTPlM/MPzlpZW9TYmQa9rbJEUY2KXH6fY++XazfUn7l6eU2re3sakP5ggF1whJq2bwnbU5ckzyXRKbba+79KTLeg1ctO5bQ/uJ3v58EyMhIktMscp5Ran387kdDsEDoWY1E5PjPkDw/3L/O2TEl4mm36/fD+4cfKeSeLxGeNOH/Skxq/8P2X05C9nEhvzJ8cEp2c6pTa/bHzPBD/eXmcwUaE/IepalgnZfsT0J7lOqVq7w3QaaXeCAU7KYbL4mcnwprHY7vl0epLLRImcUkEYN/rmOofJ4H11DdxE5J5aqD+RMhE5pahpecPD3c5hoiY3t+9Ob/f+2G8x2QbsfZIyEbi+7PY7sxzuqAwYXiR2YrG5+nWe6WYYGZPd2LQjrz8ON7Gbm8neHbaWn3BDwOQyNtdKWw9n4zRvP57KxDZ/f0nDkoD3a/8w2ZkE/YDW6o+eeOVYYXf9w8Qx2aKVmB8mjokGO8ifO+5YENdEaIvtJK8nzS+8sql6MpNxPD/8cOsT+cfFZI0nxP2vX84uvgbn/ZmMvZNf4u+QFMxPbPUuJlPUnTx2zgaZ9MiVI+5j/aB1H7dFrYj/QHFiPcFmDK7AqSc1cluImWTGbVErAlcJXSedWEgGXCbFIya3sUYnkxYt0YuZZMZtUSsCNChxmnZiJQRDUlo8YqK+jrgDxubWxd2pmAmcBLNVVopaEV8I25WPtBOLy8OIx0xUe/f2MI9/FxNqRTAVCMmME4vLw4gjJvI1vlDeu5j4p0dWBNc+n344bGIlZrMw4jGTXrp2cxQnZ5IftxVbEUeJqf85J1ZK1qZx4jET0QQOliRmIojbiq0IWCo+55xYWG6/5sRjJkzm+2QxE//IrLgtZEV8VZezkXldACf+HzFJOKVs49i4LdhwZEXAW/icc2Jhuf2aEy/LJLKVXcmcvSOI20JWBNO+kMw4sbg8jHhZJqS/55jkx21hK4Jrn09nnFhcHka8HBPn/s1mEl74nLgtbEVw7fPpjBOLy8OIF2LifehT/r6C/LgtbEVw7QvpaScWmyct/puYqOy4LWxFsO3zN9JOLDZPWrwkE79xOC6f609iqQ+7KsSkdYEZC97IwY87H0Yhrk4hJkNgQuZKT9YTvxdUh/EeQn8yk9WFH/gN5pDIs9+dxu0RmelGkSfriX9t2p9YFfiW+CFnjwqE6U/WEx8xukcF/jAJBELEqI8KhEhYuzgS+rSLMvOTfW+njwqMWvjgd2fvSTQxAikTa2KsDVlniUCmLoTZMsPIrNVVLXAfjS+6jJ4MYcSZyaSNMvEeG00WFVIcYJosW2YY2ea8TCv+Pkmh/bHrEeEQ7zZIzNn8xljVYznY/NS5MFtmGJn23qzu2r4Zii6jJ8f3kUjQNdGTEGgmZiLMlhlGFmIgNP6aVxkm075lfcKPJ0xq47wYjdRp8p1s92Fk2rtSwWfDCupJf3xkasWdLGFiA27N3Ii7k29kywsjsxSmeMtVof327bEbpT5Ojj6BMrF9mqnIHq9Dnv9fmC0zjMyWR8K8yvSx+lycxv0VZdKu22JIV8+z2O98IxuJy0kXMoW9C+Bmkf7k+rQU/tIeYTK4GthVuZv9C9hHdpMNi4cG3oeRWbmGICmiJ+P1xoBP+vl6ESYBBvkQb2gE/68wW2YYmS3Pw0blltATPxvYn4teHsyk3/szLRt4hNlyw8isxrrV0g11byWYVGDSM8ddBWaiulD+gqqBfilyKcyWG0Y2+gXkGb3IBZjY7/qDNlzvkUskTOrKVWCQ7nMRZssMI9smF3ITZimgCQWYxJ/RXaOIQ8JEjS70R24DCrPlfdvQRpC5AxsarzNBTu59A8OOnTIBv8ennr7OZEbz+XO/qGvyQ5l0eIDvQPfyTCaRWvi3oQWK80gmPbb6LBbw5yIeyQS03yuJ/+f6pv8TmdRJw2U8U+1+SHdk7iS/qP6uswJ/p0lN6ZlGfUxTe/+Hj/5nf6cpLHR+92fpIZJ/AdNEa4egTRdhAAAAAElFTkSuQmCC\n",
      "text/latex": [
       "$$\\left ( \\left[\\begin{matrix}3 & -5 & -3 & -1\\\\-3 & 4 & -1 & 0\\\\-5 & 7 & 0 & 0\\\\8 & -8 & -3 & 2\\end{matrix}\\right], \\quad 17\\right )$$"
      ],
      "text/plain": [
       "⎛⎡3   -5  -3  -1⎤    ⎞\n",
       "⎜⎢              ⎥    ⎟\n",
       "⎜⎢-3  4   -1  0 ⎥    ⎟\n",
       "⎜⎢              ⎥, 17⎟\n",
       "⎜⎢-5  7   0   0 ⎥    ⎟\n",
       "⎜⎢              ⎥    ⎟\n",
       "⎝⎣8   -8  -3  2 ⎦    ⎠"
      ]
     },
     "execution_count": 61,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# К 3 столбцу прибавим 2-й\n",
    "# К 4 столбцу прибавим 1-й\n",
    "A265 = sympy.Matrix([[3,-5,-3,-1],[-3,4,-1,0],[-5,7,0,0],[8,-8,-3,2]])\n",
    "A265, A265.det()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left ( \\left[\\begin{matrix}3 & -5 & -3 & -1\\\\-3 & 4 & -1 & 0\\\\-5 & 7 & 0 & 0\\\\14 & -18 & -9 & 0\\end{matrix}\\right], \\quad 17\\right )$$"
      ],
      "text/plain": [
       "⎛⎡3   -5   -3  -1⎤    ⎞\n",
       "⎜⎢               ⎥    ⎟\n",
       "⎜⎢-3   4   -1  0 ⎥    ⎟\n",
       "⎜⎢               ⎥, 17⎟\n",
       "⎜⎢-5   7   0   0 ⎥    ⎟\n",
       "⎜⎢               ⎥    ⎟\n",
       "⎝⎣14  -18  -9  0 ⎦    ⎠"
      ]
     },
     "execution_count": 62,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# К 4 строке прибавим 1-ую * 2\n",
    "A265 = sympy.Matrix([[3,-5,-3,-1],[-3,4,-1,0],[-5,7,0,0],[14,-18,-9,0]])\n",
    "A265, A265.det()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left ( \\left[\\begin{matrix}-3 & 4 & -1\\\\-5 & 7 & 0\\\\14 & -18 & -9\\end{matrix}\\right], \\quad 17\\right )$$"
      ],
      "text/plain": [
       "⎛⎡-3   4   -1⎤    ⎞\n",
       "⎜⎢           ⎥    ⎟\n",
       "⎜⎢-5   7   0 ⎥, 17⎟\n",
       "⎜⎢           ⎥    ⎟\n",
       "⎝⎣14  -18  -9⎦    ⎠"
      ]
     },
     "execution_count": 63,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Разложим по 4 столбцу\n",
    "A265_1 = sympy.Matrix([[-3,4,-1],[-5,7,0],[14,-18,-9]])\n",
    "A265_1, -(-1) * A265_1.det()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left ( \\left[\\begin{matrix}-3 & 4 & -1\\\\-5 & 7 & 0\\\\41 & -54 & 0\\end{matrix}\\right], \\quad 17\\right )$$"
      ],
      "text/plain": [
       "⎛⎡-3   4   -1⎤    ⎞\n",
       "⎜⎢           ⎥    ⎟\n",
       "⎜⎢-5   7   0 ⎥, 17⎟\n",
       "⎜⎢           ⎥    ⎟\n",
       "⎝⎣41  -54  0 ⎦    ⎠"
      ]
     },
     "execution_count": 64,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Вычтем из 3 строки 1-ую * 9\n",
    "A265_1 = sympy.Matrix([[-3,4,-1],[-5,7,0],[41,-54,0]])\n",
    "A265_1, -(-1) * A265_1.det()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left ( \\left[\\begin{matrix}-5 & 7\\\\41 & -54\\end{matrix}\\right], \\quad 17\\right )$$"
      ],
      "text/plain": [
       "⎛⎡-5   7 ⎤    ⎞\n",
       "⎜⎢       ⎥, 17⎟\n",
       "⎝⎣41  -54⎦    ⎠"
      ]
     },
     "execution_count": 65,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Разложим по 3 столбцу\n",
    "A265_11 = sympy.Matrix([[-5,7],[41,-54]])\n",
    "A265_11, -(-1) * (-1) * A265_11.det()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAABQAAAAPBAMAAAAWtvJmAAAAMFBMVEX///8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAMt0Qq5nNdrvvImZUiUTT93g/AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAZ0lEQVQIHWNgAIHVBmCKUZmB4fz///8nMJiEfWZguOYaGnSAgYEdyAxgYFgKVAJiAkUcoEwGBl4BOHMFkAVWwMDgB2dyfYAzeRPgTKYGONPeAc58D7QEasL5C0AWS+cndwaGlQcYGABz2x+Wiwxn8wAAAABJRU5ErkJggg==\n",
      "text/latex": [
       "$$17$$"
      ],
      "text/plain": [
       "17"
      ]
     },
     "execution_count": 66,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    " -(-1) * (-1) * (-5 * (-54) - 7 * 41)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAABQAAAAPBAMAAAAWtvJmAAAAMFBMVEX///8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAMt0Qq5nNdrvvImZUiUTT93g/AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAZ0lEQVQIHWNgAIHVBmCKUZmB4fz///8nMJiEfWZguOYaGnSAgYEdyAxgYFgKVAJiAkUcoEwGBl4BOHMFkAVWwMDgB2dyfYAzeRPgTKYGONPeAc58D7QEasL5C0AWS+cndwaGlQcYGABz2x+Wiwxn8wAAAABJRU5ErkJggg==\n",
      "text/latex": [
       "$$17$$"
      ],
      "text/plain": [
       "17"
      ]
     },
     "execution_count": 67,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "deternminant([[3,-5,2,-4],[-3,4,-5,3],[-5,7,-7,5],[8,-8,5,-6]])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left ( \\left[\\begin{matrix}3 & 2 & 2 & 2\\\\9 & -8 & 5 & 10\\\\5 & -8 & 5 & 8\\\\6 & -5 & 4 & 7\\end{matrix}\\right], \\quad -6\\right )$$"
      ],
      "text/plain": [
       "⎛⎡3  2   2  2 ⎤    ⎞\n",
       "⎜⎢            ⎥    ⎟\n",
       "⎜⎢9  -8  5  10⎥    ⎟\n",
       "⎜⎢            ⎥, -6⎟\n",
       "⎜⎢5  -8  5  8 ⎥    ⎟\n",
       "⎜⎢            ⎥    ⎟\n",
       "⎝⎣6  -5  4  7 ⎦    ⎠"
      ]
     },
     "execution_count": 68,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 266\n",
    "A266 = sympy.Matrix([[3,2,2,2],[9,-8,5,10],[5,-8,5,8],[6,-5,4,7]])\n",
    "A266, A266.det()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left ( \\left[\\begin{matrix}3 & 2 & 2 & 2\\\\4 & 0 & 0 & 2\\\\5 & -8 & 5 & 8\\\\6 & -5 & 4 & 7\\end{matrix}\\right], \\quad -6\\right )$$"
      ],
      "text/plain": [
       "⎛⎡3  2   2  2⎤    ⎞\n",
       "⎜⎢           ⎥    ⎟\n",
       "⎜⎢4  0   0  2⎥    ⎟\n",
       "⎜⎢           ⎥, -6⎟\n",
       "⎜⎢5  -8  5  8⎥    ⎟\n",
       "⎜⎢           ⎥    ⎟\n",
       "⎝⎣6  -5  4  7⎦    ⎠"
      ]
     },
     "execution_count": 69,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Вычтем из 2 строки 3-ю\n",
    "A266 = sympy.Matrix([[3,2,2,2],[4,0,0,2],[5,-8,5,8],[6,-5,4,7]])\n",
    "A266, A266.det()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAQIAAABkCAMAAABaS86RAAAAQlBMVEX///8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACGKEuzAAAAFXRSTlMAzUSZq1TvEGYy3Xa7iSJsYK9AMHz2s7cdAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAIZklEQVR4AeVd65atJgxGxfulPW15/1ctF4EEheAM7pm18MdslETDZwiBBIcxdzStKc5CH9xV/JrCYiT7vjzHMt7dpLNtnsU+yeME5I70p64psSYuCjx+t42F9+oHC8wsDljx28pTCQjYMF3aNfprJATzvRpd7snY0XXNNt9U4EsUGaovA0F7fc+8cVKlIRh51wirMI7nvnAoddsF1aUoMlxfBgLGt0DmGciZhkAyrrkQcA3VMAQPC08pMlxfCIJD9FiOxisBKwfBoLHiV53DD6fIcH0hCNi2ICl6oAQFIeD6KVwQ1oAiw/WlIJjFCjFoICLltMA8Yskz4RSZrS8FAdtgB8WAFIYA3xwCj8oUmasvBkEPrQFH9q0wBEuHmho7ochcfTEImPAGcBRogMAQjM3iD9Ops0cE1dwuDwGKzNeXgwAYqQlqBCtoDiUCUx4CFBmoLwdBK3arkxvqB0Uh6NVDDtLhpshgfTkImLAGcRRwPCiqBbOGeaWcSYoM1ReEYLPD9eT1QesFtgVWVcBvti04lk4eZlgH/GGRIsP1BSFYbcs59IukeAQEfBvEwpFbEbbJnjdmfu8Nr63AvxQZri8IwWzHhCFwXQgIsPifPysIAROm6aEpoLTg843GTywJQWM6QI+9ArIjYIE+f1YSgs7MEzprE2xrKuoIk9ALaA12jKrSgtl4BoMdHCvUgtHYQ4F9w6q0QA4J0nM9zoHB6kBdECxqSOgD97guCBohF9NX6yE5NahoRGBcDYd76BbU5BqxTo2K3AyNTgfiHWHf146c9oL7qGImD0H2QijllFMrwCbCRY1IR2jkuvu4PMMgk4cgeyWUYjDYlRloMiGY9KLCjpbYTiijP5k8FNkroRQj9KoGgyb0jyO2YNOuZB86EdHmq4pMHorsnVCKlnxSECyZEBhlaUNvOglBJg9F9k4o5YRArp0tOKgiK25twWjlvAaloyhk8mSSFQ+lKLl75RgOyjlAxy0Eh1EWF9BAHJGTTJ48MvfkkpNlA4F4CIFbd460G1x2bUvz5JG9EEqRorZKC4T4C0itiv+If4Mr8nQ0WtBeus2V1F3J5Mki86GU/4J1Pve4rxT+UZNEIf4OeG8hYMYWoDhcwHc9zeTJIAOhlDcgCFIN7s0h27RHMD0bFPN46Fu/FEpRpl9rQR4Ek468dNSCOFKFTB6S7K1QykMI2KIc5IHIlkAIyBE3j4cgey2U8hSCcV9X/gwBlslDkJUMpezyAI141BGC9/tzp9/xC45FLhLBAF99EDRqVmysr3mH1UFwneRVB0Fj8wlcN64OAtHMcuULJsPWBsEoGjUlHIAjVB8EenrRuZz70y/o/oTLgeNEJca4rvQThSOc3MeFCLPlTMhkAikl458/aqYI9ELf7Xa9IP6cT9d8wy9YtHs/geWB2jrCmXkNteDXQKA91jHskBH1wlrwqM+2py3wd/4CBH5Dii/5G0ZLchKwo8EIUw6ikTmu8dYgdgSBNPL4VumzTa5fjd8ZEfyGFF9KP9LW6mgND42OrWXLIpY9jgBD7AgCyZrgcw9whV3mAIJZ0rP1AnMXn3LoS+7+0cKkjfgYfWE6RBHlZpgdQ8D6RxCED/lCR/AN96XwttdzE4P6MgSYPYAgvTR7lQVf+RgErdjku+qiAzqhBZgdQzBm5YDidoOzj0Egw9di7aKmgPFpXTvYRYGQqojYMQRRWINbRE4/B4HMYhBNfNBTOnIAn+0iL2THEFxIn134HAT9fmwi1UYpeLBjDDYFsX8UgtDFllJ5I+hLUFhTDhl1FKAXYHpy5ZEJHzE1wexvQADnz0q01BzBN9yXbpoTXDJtv2yOtFSbHi27MP/RVjPM/gYEoZkqDsF4hsB4xHYNOnsjuiM9YC8NgYosvw4BG4yKbxFNN0P7EE1gwexFIdBh1QVMHY3qFdcC1jbKhZtiQ/ihHOA1bikw+89C4Dek+JLrsanCzOUGndDmeAaZUca7hKOL2MtDoPMvvTSylNICRPgzJ0UhkMOUHI4vGQM1QTAZCMKJRk0Q6KQ7bhIcgFLXBIFOvdRZuACAumxBpzKw16rTsHUf6C+rbzV1BD0YnDuUQFeoCQK9N+3coVQpBGZvmt6hBBCoyTWS7185pXqH0ssQPIqVQFl0+UBBzpLe4WkFeDhPImwBimtcxL2/QMVKJNesgwW37DJXWh8mQaIkBJMZC9bQNyIgQHGNW5GvF6lYieRY4svIe6NmWZ1KzZNHSQh2m1wehDjSEOC4hhaK/hNvnuVdExAY/dBT6sIQbOdiSbhXMw0BjmvYFhC/JATz1MRpzNu39SW1YDnziZdg3TINAY5rEE231VZ8e3753VkCAk3tEiYLQjDa77nsgT1MQ4DjGpe23F+gYiXrQUFwuGW1ghD0doNiawun+AQERFjkFgMiVqJyZwgt4G7NqSAE3K2bBh8kJCBAcY3bBkcuxmMlasUiDcHh92EUhMB/xSVYwccQfCUsEvIYTKKxkkmtLKch2P2oVQ6C2as/+NCVEhZDYMT3f3Fcw19PldKxkkOvLKchWJwpKOgXrK4fyFgCSkxNQhDENVIN93XpWEnL1SEGHq7g+RuM/n0VhADm464o4pmEgAqLeLFBiYqVKNIhNXC2wIMt1hHk956BjABkqiPguAa4R6JIxUoU62XxCt6vB9IWgwB/5XGHu67SWsBQXAPKmShTsRImPywstli0SSYfgCyxUhDAziVFP7cKmkYQECRa+pGqUhCsgVMMQ+WVQDCEs/PBm4Y6IIAv3Whv79WiCgjGYGKkUPDfCK8CAt9cYMAWmwNSAwTtbTbDbK/KRDR1pFwVgNwni8X+SwZT+xVvjvbMgxn1P6P4tf8lw6zc3cj/4NIIEfgfk1xqxxWn8BIAAAAASUVORK5CYII=\n",
      "text/latex": [
       "$$\\left ( \\left[\\begin{matrix}-1 & 2 & 2 & 2\\\\0 & 0 & 0 & 2\\\\-11 & -8 & 5 & 8\\\\-8 & -5 & 4 & 7\\end{matrix}\\right], \\quad -6\\right )$$"
      ],
      "text/plain": [
       "⎛⎡-1   2   2  2⎤    ⎞\n",
       "⎜⎢             ⎥    ⎟\n",
       "⎜⎢ 0   0   0  2⎥    ⎟\n",
       "⎜⎢             ⎥, -6⎟\n",
       "⎜⎢-11  -8  5  8⎥    ⎟\n",
       "⎜⎢             ⎥    ⎟\n",
       "⎝⎣-8   -5  4  7⎦    ⎠"
      ]
     },
     "execution_count": 70,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 4 столбец умножим на -2 и сложим с 1-ым\n",
    "A266 = sympy.Matrix([[-1,2,2,2],[0,0,0,2],[-11,-8,5,8],[-8,-5,4,7]])\n",
    "A266, A266.det()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAOQAAABLCAMAAABXw9uEAAAAPFBMVEX///8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAo1xBWAAAAE3RSTlMAzUSZq1TvEGYy3Xa7iSJQQDB8rw0HegAAAAlwSFlzAAAOxAAADsQBlSsOGwAABmxJREFUeAHdnOe6pCAMhlGxly3c/70uxUASC7oTZ/fRPycgAq+hfjhHqXgVZTB74y8db3zPGELRAgUuQ7uXSwVUvZk7e63Ie0kfi3PldtpI5D8DDs6sbgC9Nwu+8XW7E4FUTbepeZvispD9flPY5Gkjlqoqpn7vDokjyYQgy62vdBFLPYdsdVUYcHp85sBYXJuZTa7l02RCkEpPrFY9qsg5pH1wvAyp/dtoGlYaD9JkUpCLqWlBRXKkEoRs/OvQ24ZDS6fJpCDVNJBiauRISUjti9Em0ytpMjHI3oyYssDMgp4MZQzXhktIJgapJtxPKLI0JM0dv1tix2RykDXulZqMJNKQQ0VgjgIxmRykMmmoaQ0ZbClkWwzpCn3r+ujqgKprjCmZICQaDTrsVSU58FjG7hojSiYIWZoZGs5EWqssZO1KWbLrRJxMEFIZGHpag8dWWU/2/k2OuRUSSSYJOcHs1SWfet/SPgnuRn+v98llqOwVpkGUATdpMknIEdg0XgnY8jOQemrMoMk0yysdw0XYH6YxLt4hBk0mCdnD+NqwuToDSar3REASUpkAx7tkzpNPcJE8RSGL0ExrOktmmyup0BMBUcgqrF8r6JtQ4Vc11854GaSgS4GXebIPM2UDU8krPdmGkcfQ9c7LPGmHV7vcWtZBFvz4NsjBDa81W9S9DbIwVpocYU0QXfmq0VVpN3nMfJr8F4sBv09t172K6DypKjeH6DCRRD+eN9ekKycLPXpotvM4V8fya2MKuzdf9yofQs72QsKZd+Jk+K72sLkmXTlZh1j0hi9DMx00JRkGM8ywH/sIchnsq8Tbntl1x+I6pK1U2mUlK9X10Or8uUR7uBshhzMfQRbudU5IzhndwFrwVd1pn0xoyTpESzdmX+oXIGs+6avOQQ7fgCzNZBtjtT1nWt+DmCcLkDviC+7cum6gMrO9edgn7b3kv2TF/E4MbcxYHXZJpbtxrGC0+KS5mqKfRzLC1W6x07jJklxPQNqZyhTHcpbz8wICxQeQrSkcTYNep4c0X4Gs52UyQEFeaQrA+cxHkF4IqOKBslKl86ThO63UXE915dPmyp/0qmptUNmJLVrVevh1B5IXFNaoHXqd9guI1kL+iMUE46f5xWJSMKElK909tALd5sAQ0k9+bqnWPd/vIMvAzVt/B59Th1rnzwCJGrDPUL5Ptmu1Ne/+K0DjhV/4IOKOJ/kbCE2eedINPM9DqiaMOdPB0BO0/GadwhkkLIQ4z264XPtkuun75IBcG27Je1KVhatqdyTWLm6ZMkKPpZB2wEw1zluTfWEtHl1vQyZdOVn5cl2KXlsl/XiBbr/+0BW4jEKquHC/VtJss4IZ1z3hIf2mkjx/5kmS8KEAg1Q10P9VeXZMt4vZWyuevyrn5kMcMvTYm5nE5H5ZN91au8ZnHzQYZHvUk69Vwe9C9K2t1rWMP0vFIA+mnatl+P2klwfIE/9bnySVux2onLwz/g8aD6k68yS5dz/gW2q9mYfe5Uk/sK6HBegVvQvSH/WshwWvhQxHPf6wADGmrRaO/KIt2ietD91awh8WYIYnmitRj3FhO7Yo5NobNV+hZyAzOvFOrW0UUY/3k/Sg/4pCdmFcHflqIAOZ0Yn3CYh6fJAEJDtRyDks6OJXIFD2OWROJ4Zc6F8AoLE4NA6QRhRyWrfL/IDyHDKnE+OKJxsAUgyz+q6ANKKQw6o2D+zr6XPInE7MKr8GAWD/ro2d1SOQLXxcN7OR5xzSHoOd6sT7GEQ93kkyLs9A1nBmV4KxFp6BzOjEOwQ2iqjH2ySL3Wo84kkdFSz2k4YM5BWdeIvhYkA93t51++JHINMndSB4roVTSC7fXtKJ+UMhZ1CPN5CdU/GegOxTI0Xf97ryKSSvUUYn5slDmKrHPM3i9/5PQI6xtdr1CDnwOoXM6cQcIISpeszTlNpdptFBzRGcQvBJ3ojODrKePNeJOUAIh9qDeryfpoFpRg7S/kgSlZWaro089WROJ0aZIpOqx+gGMqNCIQdJfwoy41Poc8icToyqjUyiHqP4aNqf8pkp6HJikC3xnWqxXzOQsV5PGWKQI1vK4YO410A2sHkDdzSpi74FEjsuYNbJtS+BbNmS3HGmH8e+BDIBQWu1fwfQ498BWcJxJ0K00yPEvuKfKSj3jd3OVa6H3a3/lwb/7p8pBIFlp4J3olrM+AcWqEPOz/O9iQAAAABJRU5ErkJggg==\n",
      "text/latex": [
       "$$\\left ( \\left[\\begin{matrix}-1 & 2 & 2\\\\-11 & -8 & 5\\\\-8 & -5 & 4\\end{matrix}\\right], \\quad -6\\right )$$"
      ],
      "text/plain": [
       "⎛⎡-1   2   2⎤    ⎞\n",
       "⎜⎢          ⎥    ⎟\n",
       "⎜⎢-11  -8  5⎥, -6⎟\n",
       "⎜⎢          ⎥    ⎟\n",
       "⎝⎣-8   -5  4⎦    ⎠"
      ]
     },
     "execution_count": 71,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Разложим по 2 строке\n",
    "A266_1 = sympy.Matrix([[-1,2,2],[-11,-8,5],[-8,-5,4]])\n",
    "A266_1, 2 * A266_1.det()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left ( \\left[\\begin{matrix}-1 & 0 & 0\\\\-11 & -30 & -17\\\\-8 & -21 & -12\\end{matrix}\\right], \\quad -6\\right )$$"
      ],
      "text/plain": [
       "⎛⎡-1    0    0 ⎤    ⎞\n",
       "⎜⎢             ⎥    ⎟\n",
       "⎜⎢-11  -30  -17⎥, -6⎟\n",
       "⎜⎢             ⎥    ⎟\n",
       "⎝⎣-8   -21  -12⎦    ⎠"
      ]
     },
     "execution_count": 72,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Сложим 2 столбец с 1-м * 2\n",
    "# Сложим 3 столбец с 1-м * 2\n",
    "A266_1 = sympy.Matrix([[-1,0,0],[-11,-30,-17],[-8,-21,-12]])\n",
    "A266_1, 2 * A266_1.det()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left ( \\left[\\begin{matrix}-30 & -17\\\\-21 & -12\\end{matrix}\\right], \\quad -6\\right )$$"
      ],
      "text/plain": [
       "⎛⎡-30  -17⎤    ⎞\n",
       "⎜⎢        ⎥, -6⎟\n",
       "⎝⎣-21  -12⎦    ⎠"
      ]
     },
     "execution_count": 73,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Разложим по 1 строке\n",
    "A266_11 = sympy.Matrix([[-30,-17],[-21,-12]])\n",
    "A266_11, 2 * (-1) * A266_11.det()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAABkAAAAOBAMAAAAoFKpzAAAAMFBMVEX///8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAEM3dMokiRKuZu1TvdmaRvEVTAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAYUlEQVQIHWNggAHW0BAYk4GBzZyhGcFjmsCwCsHbL4BgMzDoIHMYPrneLIALMH56wHAawfvPwDBHgEHIGARMGD4zMLxHKDUC8h7AlS5GkasH6oNLMXAFMCLMZGCInOHAAAAgHxV8SN+ioAAAAABJRU5ErkJggg==\n",
      "text/latex": [
       "$$-6$$"
      ],
      "text/plain": [
       "-6"
      ]
     },
     "execution_count": 74,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "2 * (-1) * (-30 * (-12) - (-21) * (-17))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAABkAAAAOBAMAAAAoFKpzAAAAMFBMVEX///8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAEM3dMokiRKuZu1TvdmaRvEVTAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAYUlEQVQIHWNggAHW0BAYk4GBzZyhGcFjmsCwCsHbL4BgMzDoIHMYPrneLIALMH56wHAawfvPwDBHgEHIGARMGD4zMLxHKDUC8h7AlS5GkasH6oNLMXAFMCLMZGCInOHAAAAgHxV8SN+ioAAAAABJRU5ErkJggg==\n",
      "text/latex": [
       "$$-6$$"
      ],
      "text/plain": [
       "-6"
      ]
     },
     "execution_count": 75,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "deternminant([[3,2,2,2], [9,-8,5,10],[5,-8,5,8],[6,-5,4,7]])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left ( \\left[\\begin{matrix}7 & 6 & 3 & 7\\\\3 & 5 & 7 & 2\\\\5 & 4 & 3 & 5\\\\5 & 6 & 5 & 4\\end{matrix}\\right], \\quad -10\\right )$$"
      ],
      "text/plain": [
       "⎛⎡7  6  3  7⎤     ⎞\n",
       "⎜⎢          ⎥     ⎟\n",
       "⎜⎢3  5  7  2⎥     ⎟\n",
       "⎜⎢          ⎥, -10⎟\n",
       "⎜⎢5  4  3  5⎥     ⎟\n",
       "⎜⎢          ⎥     ⎟\n",
       "⎝⎣5  6  5  4⎦     ⎠"
      ]
     },
     "execution_count": 76,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 267\n",
    "A267 = sympy.Matrix([[7,6,3,7], [3,5,7,2],[5,4,3,5],[5,6,5,4]])\n",
    "A267, A267.det()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAARMAAABkCAMAAACSJyRHAAAAQlBMVEX///8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACGKEuzAAAAFXRSTlMAzUSZq1TvEGYy3Xa7iSJsYK9AMHz2s7cdAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAIuUlEQVR4Ae2d2bqkKAyAcd/t6Z7h/V91WARCCAXMKeo4n8ebQkAJv2FNtBizR9NewYWro7cpNwusWr53SnWuE3W7zjJY+DGLwyCiMn9rnBRu7vlbZThs7cFth9GSWvipEs7ZRoGMNwnO72XCxjmo2ATiDJNB6ygfg9zRiIXWwWh+tnTxNJNyHFunn5KJEb/vZtJeigCK6Bt3YpgcTd+JYx1c0svQ1HcNL1StldJZv5RGlD+tGMq7mbB+94tlCwe9h2GiH+GZ8STt3bZCJluaybzKux9Y4rczOTl69g1QEwFIPxSdJ/0gLRHGCpksc5O8/a5yDBj225mwXcG3lRmgmlgmKvlYbK6MQCGTg6WZcKWnLX6K72ey8A3WsPEQGT2ROU6ss/CyMFzGZDvTTCbDBI0L72fCdjiYIEKQSQ/6mRBBEFPE5BTVTOrJyQ9ZChLx/eOOKGOAutj7jRUwOQtnAUVMZGXzmSg0Eo8+KugJ465XnbjfQACTw+UywrjfqVndobudV0xw9ln25Ekmk9aT1m/sVfSE9dx2njPUGSEnYLL6tByPSOgVE3TJqXq0JBOm+xNPr+WdauhJq/nL2+9+0wFMJp4cKuUN3FHApO3lwcceNQp3Mx3a1WOZkYxVmDA7ZZ+4N+pAPWn1Q8Jixs8LmOibjEnosxoNOtyIa+iJ0I6r8cxOY7Scru0MOClOQ6cUM0FdGXV/ubaYRtvSryxVmGymvr03YRNFOibniOa7lMwurt9HvvbezMclUiGxPuJ7Kv90bFuPkdRpO4sZeUY83jomVD1uEldFTxjXLILuBOjJTepPiVGHSaPbzBA06QfrSaenQZ3pV+zTeDCTWU8+GjRjg32sxXS/QJ22s+gZymjGZFvvB+vJpDtZjmeIT+5jxcAjVmHnNfxYLXl022GrHHgGPLN/NpOGi02dzUzdnKI8uD8R2wViSXoE05NH9yedHIz7cDvA6sl5HN2esfl4dl2zBysSp3hEKMfWFVwGLWp1xmKtInu4HWCYTHLHHG84BYKKblqu9w+8kiQygqi0XQdkVkFkUavGRGxKNHEmm5zNTWF/g6Xtle1vhLveOAs+z7B14UvEOdyJqMRkk0NOE0ztbX/SjrLdpJmMaobThwZXolo6KsfWRVz8ASazZLLGmSipBjk4vT56tU8HNnhfZxepObYu4iYfYSLUfcUb4v78pF2TSC7hV7wNQ1TqisqxdVFXf4CJ8KVgbAz1wPSxgs7WhztclLQSZGq/zF6XZeuyuUHgU0z4KyZCnsCIAGSEwTXf/SDL1gXvbcIfYNJKPeH8lynS/P7hf5ug+NU9KIggg10+kjxbF8MmMlEsZPJPflMlBY5E/pFLYs7/wsmGyaKmYXuwv4Lzi/M5H0murYso5XNMgq35qz8Rewly4pHDZJDN4cSuREStRFSurYu4GjKpND8RPp9ST2JMmLZHZbSdRZnythK3rbSt655MZjkMZ8xPzlW6velZClETMipceZLZ/Mgb6AlrRVUz1oDCcCUPbL306+OdZdm6vCvEiW9R+1rbsatJ7FOZajtYqFudf4EJWE0GPpVPZSKe7dUKQ5/KHyahT+UPE71PAn0qH8+E8Kl8PBPCp/KHid47Eu/m2CFVMel+B1Py6c7vqBjp5YZD5hFdTRI+ldPv33JdHJ3bZxb5Pdm+MD8RAl9jse5j4XbI49sOC30qk0zUXsEUtK3vUQxUqq8nJctPeSMzZwt8KpNMRt4IV+mS8uw6AtWAPM01leE1ibqZxyTD4OJLYFaTgU9lksm68vXIRwLWEb4E9FmuqSxYk4RMWNmTc6vJwKcyySTpzxtU1vAPEoiITFNZuCYhmLAh/9ERoriob2aSaSoL1yQUEzfDcPX7L6FvZpJpKgvXJASTKduQkgCVZjJvW1fkL1DSdrR0KVMZsSYhmORP4L7KZBeN9CzyFyhmkjSVEWsSgkmipvnJST1Rt0KvU76+fTGTpKnMMkE9hjcWvxaqJDWPSRf1F4iuI2ghiOwsbSoj1iTq9nWZBI5Ixl68q13nLvCfpausYgv1JMdUFq5JPsAkugYcLx+KFwxwUhmTLFNZuCapzESag6NMdAseS14JLGKSZyr75Htewkopbehr3K9Afalgc98AwUpBnJcwyTWVBWuSmnqSYsLEIq3vCibNbh1B4Aqick1lwZqkOhPlOOzLa/pYP/ZmZ5XGnUG+mLGH/kVPZjJrJmgy5Puz3Uw7nDiV9ET5gvZ6/HeFPZvJIV0BlIM5JPJsJp10AtlCT5An9yeq2Qyh38iTmagh53orELaeJzNRb4xebwX+MNEE9Buj6q1AiMS+g+BF3u2kzlh8+XqqtwK9Gtu28/+xeXnyf+Hk6kn6YBFomeTbvIpsXYw0YmXUBJZSR09mPeJswaTNMsm0eRXauhhtxEoxQaXUYXIY7wvsxGmZ5Nu8SvYIIkasFBORDkupw8Q4jQcvXVdmEjFi3YLJqtzp5a4S8hyozCRixLoDk8l8ZOrAnaxjkm3zglqdqFzMiJW4TCbDUqq0ncG8WNyagJHKMsm3eUFpzW0iv9ZgU27OhKVUYdLbzWn8FqxlomqVZfOC0kZYmGjLJNi3MTmiv7CUKkzcp6WwBcdnErd5AdmhtCCaCsaMWDgvYSKDpdRgsrgWAz7ppwQzTApsXlBaXDl8HjFi4WzEOSylBhP1kvlVLmo8hkmBzQtKS1TGi4oYsbw89AkspQaTBrxKv/m+A4ZJgc0LSkvXx8VGjFguQzQES6nABPoOCydZb8ZqmBTYvKC00SqZBNqIZVJf/MJSKjDxP6N7XNM3LY9hkm3zKrN1MdqI9YKFTvJLeT8T9BHUayy4xLJMkmJ+Y4b3M9nQfB5q5VP3lEb8jvQIZlDP1BNPLVQDGIDiPJLJhFd9Agv4u4hHMgH1d72k+9DJE5m0pJvNYmOF7588vDmLY/f9oQr/08TWwKtP1bM1W0uT+iOkm/9Pk/pwwNuezwSR/Ashd2pehSRUXgAAAABJRU5ErkJggg==\n",
      "text/latex": [
       "$$\\left ( \\left[\\begin{matrix}7 & -1 & -4 & 0\\\\3 & 2 & 4 & -1\\\\5 & -1 & -2 & 0\\\\5 & 1 & 0 & -1\\end{matrix}\\right], \\quad -10\\right )$$"
      ],
      "text/plain": [
       "⎛⎡7  -1  -4  0 ⎤     ⎞\n",
       "⎜⎢             ⎥     ⎟\n",
       "⎜⎢3  2   4   -1⎥     ⎟\n",
       "⎜⎢             ⎥, -10⎟\n",
       "⎜⎢5  -1  -2  0 ⎥     ⎟\n",
       "⎜⎢             ⎥     ⎟\n",
       "⎝⎣5  1   0   -1⎦     ⎠"
      ]
     },
     "execution_count": 77,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Из 2, 3, 4 столбцов вычтем 1-ый\n",
    "A267 = sympy.Matrix([[7,-1,-4,0], [3,2,4,-1],[5,-1,-2,0],[5,1,0,-1]])\n",
    "A267, A267.det()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left ( \\left[\\begin{matrix}7 & -1 & -4 & 0\\\\-2 & 1 & 4 & 0\\\\5 & -1 & -2 & 0\\\\5 & 1 & 0 & -1\\end{matrix}\\right], \\quad -10\\right )$$"
      ],
      "text/plain": [
       "⎛⎡7   -1  -4  0 ⎤     ⎞\n",
       "⎜⎢              ⎥     ⎟\n",
       "⎜⎢-2  1   4   0 ⎥     ⎟\n",
       "⎜⎢              ⎥, -10⎟\n",
       "⎜⎢5   -1  -2  0 ⎥     ⎟\n",
       "⎜⎢              ⎥     ⎟\n",
       "⎝⎣5   1   0   -1⎦     ⎠"
      ]
     },
     "execution_count": 78,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Из 2 строки вычтем  4-ую\n",
    "A267 = sympy.Matrix([[7,-1,-4,0], [-2,1,4,0],[5,-1,-2,0],[5,1,0,-1]])\n",
    "A267, A267.det()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left ( \\left[\\begin{matrix}7 & -1 & -4\\\\-2 & 1 & 4\\\\5 & -1 & -2\\end{matrix}\\right], \\quad -10\\right )$$"
      ],
      "text/plain": [
       "⎛⎡7   -1  -4⎤     ⎞\n",
       "⎜⎢          ⎥     ⎟\n",
       "⎜⎢-2  1   4 ⎥, -10⎟\n",
       "⎜⎢          ⎥     ⎟\n",
       "⎝⎣5   -1  -2⎦     ⎠"
      ]
     },
     "execution_count": 79,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Разложим по 4-му столбцу\n",
    "A267_1 = sympy.Matrix([[7,-1,-4], [-2,1,4],[5,-1,-2]])\n",
    "A267_1, -1 * A267_1.det()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left ( \\left[\\begin{matrix}5 & 0 & 0\\\\-2 & 1 & 4\\\\5 & -1 & -2\\end{matrix}\\right], \\quad -10\\right )$$"
      ],
      "text/plain": [
       "⎛⎡5   0   0 ⎤     ⎞\n",
       "⎜⎢          ⎥     ⎟\n",
       "⎜⎢-2  1   4 ⎥, -10⎟\n",
       "⎜⎢          ⎥     ⎟\n",
       "⎝⎣5   -1  -2⎦     ⎠"
      ]
     },
     "execution_count": 80,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Прибавим к 1 строке  2-ую \n",
    "A267_1 = sympy.Matrix([[5,0,0], [-2,1,4],[5,-1,-2]])\n",
    "A267_1, -1 * A267_1.det()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left ( \\left[\\begin{matrix}1 & 4\\\\-1 & -2\\end{matrix}\\right], \\quad -10\\right )$$"
      ],
      "text/plain": [
       "⎛⎡1   4 ⎤     ⎞\n",
       "⎜⎢      ⎥, -10⎟\n",
       "⎝⎣-1  -2⎦     ⎠"
      ]
     },
     "execution_count": 81,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Разложим по 1-й строке\n",
    "A267_11 = sympy.Matrix([[1,4],[-1,-2]])\n",
    "A267_11, -1 * 5 * A267_11.det()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAACMAAAAOBAMAAABXxbiCAAAAMFBMVEX///8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAEM3dMquZdrvviSJUZkSudLgOAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAgElEQVQYGWNggAEWQyBrVdkGGJ+BQTTpIwMD0wFGa4QQAztQ6DIDwwo0oVYGhvMCCDGQqm8MDO8PoAgxgoQuoAhx/2Jg8C/AFFrAIGQMAiYMIBsZgareo6oCGX8e1XiGDgaG+2iOuMnAkIQwHex65gOMUxBCrJ2fwxkYl5c6MAAAxKwoaa01LTMAAAAASUVORK5CYII=\n",
      "text/latex": [
       "$$-10$$"
      ],
      "text/plain": [
       "-10"
      ]
     },
     "execution_count": 82,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "-1 * 5 * ( 1 * (-2) - (-1) * 4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAACMAAAAOBAMAAABXxbiCAAAAMFBMVEX///8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAEM3dMquZdrvviSJUZkSudLgOAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAgElEQVQYGWNggAEWQyBrVdkGGJ+BQTTpIwMD0wFGa4QQAztQ6DIDwwo0oVYGhvMCCDGQqm8MDO8PoAgxgoQuoAhx/2Jg8C/AFFrAIGQMAiYMIBsZgareo6oCGX8e1XiGDgaG+2iOuMnAkIQwHex65gOMUxBCrJ2fwxkYl5c6MAAAxKwoaa01LTMAAAAASUVORK5CYII=\n",
      "text/latex": [
       "$$-10$$"
      ],
      "text/plain": [
       "-10"
      ]
     },
     "execution_count": 83,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "deternminant([[7,6,3,7], [3,5,7,2],[5,4,3,5],[5,6,5,4]])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left ( \\left[\\begin{matrix}6 & -5 & 8 & 4\\\\9 & 7 & 5 & 2\\\\7 & 5 & 3 & 7\\\\-4 & 8 & -8 & -3\\end{matrix}\\right], \\quad 100\\right )$$"
      ],
      "text/plain": [
       "⎛⎡6   -5  8   4 ⎤     ⎞\n",
       "⎜⎢              ⎥     ⎟\n",
       "⎜⎢9   7   5   2 ⎥     ⎟\n",
       "⎜⎢              ⎥, 100⎟\n",
       "⎜⎢7   5   3   7 ⎥     ⎟\n",
       "⎜⎢              ⎥     ⎟\n",
       "⎝⎣-4  8   -8  -3⎦     ⎠"
      ]
     },
     "execution_count": 84,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 268\n",
    "A268 = sympy.Matrix([[6,-5,8,4], [9,7,5,2],[7,5,3,7],[-4,8,-8,-3]])\n",
    "A268, A268.det()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 85,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left ( \\left[\\begin{matrix}6 & 7 & 8 & 4\\\\9 & 25 & 5 & 2\\\\7 & 19 & 3 & 7\\\\-4 & 0 & -8 & -3\\end{matrix}\\right], \\quad 100\\right )$$"
      ],
      "text/plain": [
       "⎛⎡6   7   8   4 ⎤     ⎞\n",
       "⎜⎢              ⎥     ⎟\n",
       "⎜⎢9   25  5   2 ⎥     ⎟\n",
       "⎜⎢              ⎥, 100⎟\n",
       "⎜⎢7   19  3   7 ⎥     ⎟\n",
       "⎜⎢              ⎥     ⎟\n",
       "⎝⎣-4  0   -8  -3⎦     ⎠"
      ]
     },
     "execution_count": 85,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Ко 2 столбцу прибавим 1-ый * 2\n",
    "A268 = sympy.Matrix([[6,7,8,4], [9,25,5,2],[7,19,3,7],[-4,0,-8,-3]])\n",
    "A268, A268.det()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 86,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left ( \\left[\\begin{matrix}6 & 7 & -4 & 4\\\\9 & 25 & -13 & 2\\\\7 & 19 & -11 & 7\\\\-4 & 0 & 0 & -3\\end{matrix}\\right], \\quad 100\\right )$$"
      ],
      "text/plain": [
       "⎛⎡6   7   -4   4 ⎤     ⎞\n",
       "⎜⎢               ⎥     ⎟\n",
       "⎜⎢9   25  -13  2 ⎥     ⎟\n",
       "⎜⎢               ⎥, 100⎟\n",
       "⎜⎢7   19  -11  7 ⎥     ⎟\n",
       "⎜⎢               ⎥     ⎟\n",
       "⎝⎣-4  0    0   -3⎦     ⎠"
      ]
     },
     "execution_count": 86,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Из 3 столбца вычтем 1-ый * 2\n",
    "A268 = sympy.Matrix([[6,7,-4,4], [9,25,-13,2],[7,19,-11,7],[-4,0,0,-3]])\n",
    "A268, A268.det()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 87,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left ( \\left[\\begin{matrix}6 & 7 & -4 & 16\\\\9 & 25 & -13 & 8\\\\7 & 19 & -11 & 28\\\\-4 & 0 & 0 & -12\\end{matrix}\\right], \\quad 100\\right )$$"
      ],
      "text/plain": [
       "⎛⎡6   7   -4   16 ⎤     ⎞\n",
       "⎜⎢                ⎥     ⎟\n",
       "⎜⎢9   25  -13   8 ⎥     ⎟\n",
       "⎜⎢                ⎥, 100⎟\n",
       "⎜⎢7   19  -11  28 ⎥     ⎟\n",
       "⎜⎢                ⎥     ⎟\n",
       "⎝⎣-4  0    0   -12⎦     ⎠"
      ]
     },
     "execution_count": 87,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#  Умножим 4-ый столбец на 4\n",
    "A268 = sympy.Matrix([[6,7,-4,16], [9,25,-13,8],[7,19,-11,28],[-4,0,0,-12]])\n",
    "A268, A268.det()/4"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 88,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left ( \\left[\\begin{matrix}6 & 7 & -4 & -2\\\\9 & 25 & -13 & -19\\\\7 & 19 & -11 & 7\\\\-4 & 0 & 0 & 0\\end{matrix}\\right], \\quad 100\\right )$$"
      ],
      "text/plain": [
       "⎛⎡6   7   -4   -2 ⎤     ⎞\n",
       "⎜⎢                ⎥     ⎟\n",
       "⎜⎢9   25  -13  -19⎥     ⎟\n",
       "⎜⎢                ⎥, 100⎟\n",
       "⎜⎢7   19  -11   7 ⎥     ⎟\n",
       "⎜⎢                ⎥     ⎟\n",
       "⎝⎣-4  0    0    0 ⎦     ⎠"
      ]
     },
     "execution_count": 88,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Из 4 столбца вычтем 1-ый * 3\n",
    "A268 = sympy.Matrix([[6,7,-4,-2], [9,25,-13,-19],[7,19,-11,7],[-4,0,0,0]])\n",
    "A268, A268.det()/4"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 89,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left ( \\left[\\begin{matrix}7 & -4 & -2\\\\25 & -13 & -19\\\\19 & -11 & 7\\end{matrix}\\right], \\quad 100\\right )$$"
      ],
      "text/plain": [
       "⎛⎡7   -4   -2 ⎤     ⎞\n",
       "⎜⎢            ⎥     ⎟\n",
       "⎜⎢25  -13  -19⎥, 100⎟\n",
       "⎜⎢            ⎥     ⎟\n",
       "⎝⎣19  -11   7 ⎦     ⎠"
      ]
     },
     "execution_count": 89,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Разложим по 4-ой строке\n",
    "A268_1 = sympy.Matrix([[7,-4,-2], [25,-13,-19],[19,-11,7]])\n",
    "A268_1, int(- (-4)/4 * A268_1.det())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAPgAAABLCAMAAABqUbriAAAAPFBMVEX///8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAo1xBWAAAAE3RSTlMAzUSZq1TvEGYy3Xa7iSJQQDB8rw0HegAAAAlwSFlzAAAOxAAADsQBlSsOGwAABstJREFUeAHlnGubqygMgFFRvOGeXf7/f90QLglUrThM5zyOXxotCq8JIRBaIeLRtE6cDB4yfvFzwuyaUqkB26z2ntQF0snoEQ7/GvaKfuyabccoTa36dEDkD+yH8Doms/Evflweq4GLYXyhUXTtDHzat5aXx6UXpi49Pzzbuq5Zp+zriuDtq05lE6s7BFeya0ywi1j8gjDvmdjOfZstp03WySqCC7lm1U6stkNwuGe5A75cBZf4VochbVxN8M306cMbUrioDT6NzUWND/haZWaPNcHFOifgPVN4dXAtroJLbJU0aS+vCj6ZhZM3/D1U1viyXQZ3TZozL14VXKy8I6WvoS74BiPIVY0jeNoYuFQXvOe9XCYuqy64hqYXgc/52FcXXBhyZ8okTj6Cq2amw/W7t149v2e0wVAJeJdzV9a4YC5k5NoXVZ3bhq6kAHx84a4N3hprhHisiaVXBW+lPcwgY2Wh0v3P3pbb0pC5sqkLE9ybMtyn19W4wxsujuNiwvezpNFhbfA1DJcj6R7bGfv4jlLe9vGde4RIfchuEby4zR0cbjSnUrXBl8ArefQC9R2Dy3Uws0wiAGrfoQQBvlkv3QQF7UFuF59ZG3wKFQxZwHAMfsj2rV/UBhfGAedd/ETj38p3+PDq4I0z8T7vgY/XeOfi9S709fDKHw8+GhxlmjR8OXNu4dV89rO6qU9uJB/CsBZwHq9x5bybSeO2X6BxcOsQG27euQd9/wbw2br1PgtYfwN4Y2CRYAlxTFT54/s4zExhTqDzYfz5AYzo7Hgm3aAW9X1u6oUJhVB807pbs+VyVuOOqOHwa45lw1moUmi9dG5+S5KvCJW9mnzqf2jqhQkFKq5sFdlyxw4sXdpmeEthllYATlWKBhbQ1YzrP1EKFWjbvZvr4HBf4bTUF19sjKRenElox+tnY9/U6hfECsCphSOuMWh4BEmxnsU69CaPWE/7+D3wdrBmfh28T0KLW+ArRqX2QSRF8NGCzx8Axxp7O4ZcO5qwOITFb4E7O27B1EiKlY82Zp3T1AJ8edjH4bt7Grc1tvNlbrCNCTxTcIZ3wFXAHUmyrXBHb4O24UUR3wE+LVKmiaHQiJ1P8Ab2JQ0+v3cHfHN2DMkJkqgmBDcfAYdKkxQGNWJH8pOIzm9V+BK4juBsnbe1Gjf5rJRMPU8OQBvPTP1dcZcL3QEV+Z0uih79WuAdcOU03pqFJKoZdvkoAP+HrqD0x/ybXaHTM3AqFSVffEIrX19ecSyXCTMuN47eFv/L1gSzwtmpr9L1cWtlJMWSfxy470rxcvU+DqZrV8qvg7sk9lc07oOA0Q5nGA5YKR6gcevcvh1cuITCsanHFnmhRR13flBLTZ21P78Nz73GR7y5A9MhKZbHPj5/wLmN1kkXjONiBU+kdr362/gvdMbZBouD7WMkBfJi8MKEAhVvIUFSNEnRkFAJw1+q8fl03xVVqfSyuEeQlIDjpDxcwc+zPp4U/NBJCi76d8b+vlm9jdzWosjt/UPrl8jA2Xh8ty4MWdeiWP1uVV+5LwVXl7Jw5/Xh7Ey6cY6V/LtN/XrEz5AyEefjuAyTfPF3gydNvXnS2eW25ReuuaGV9y/rA8/XODp0n0hiRvN8cEwX+jngrwJ36UJMJDFumpbyiz8op8NZhYb4SRMmkvjjHm/qvnfLfJZyDF6cF4ir+4Ik/o4TORSB2FrHBTcoUV3jo/PnSx7BHIIX5gVodZ+khJSfsCKY4JA0Wa4OrsOCXLa96hC8OC/AVqrCbJHDZnKYSWNspqhR1cHDikieID8EL80L8CW66+A2+wFT6W8En/1qzJz9FOIQHDVUsp5wS+OtWWHi2VFMXlvjKmxm1Zl3OwUvyQvc0zjkb83SURev7tz6kB9ug+D73Al4UV4AHkcGTpKv5fUjFtGwq5NtYK6tcRlXGbPfO52AQ2uv5wXugvd6Ww3bX1sbnLawdumGrwier/M7JR0ulu4Uj0pkun9Vtb/iC+NWfVgciitMlcEnMnC2Z9+2IYLnTSzNC9wzdUfMfhlXGRwHZY+W2voReHFe4Ba48nkTGd16ZXCeg15YjzrReGle4Ba4GJxfW6N7qwsOPxJnlkxmf2bqxXkB1rOpt7NqU9EXaRvbu0daU6wLnv7UTKeZpfiy05aJwrwAre6TlD2RTqnIJCH9EHYF2HdQlDSkJ+5KKtExbMxh+j/q47sP+sDFquBLFqZyS3w0+JBvbhtI5U8G5wp2xtqTCTwYXGXTEstOfyLwYHCCZL4pbsd6LnhLcTADn8LVx/4BjrA7ZHeO1g/fCv925u/5AxyMm3baW3xJce7/AcVuTpWX91srAAAAAElFTkSuQmCC\n",
      "text/latex": [
       "$$\\left ( \\left[\\begin{matrix}-1 & -4 & 2\\\\-1 & -13 & -6\\\\-3 & -11 & 18\\end{matrix}\\right], \\quad 100\\right )$$"
      ],
      "text/plain": [
       "⎛⎡-1  -4   2 ⎤     ⎞\n",
       "⎜⎢           ⎥     ⎟\n",
       "⎜⎢-1  -13  -6⎥, 100⎟\n",
       "⎜⎢           ⎥     ⎟\n",
       "⎝⎣-3  -11  18⎦     ⎠"
      ]
     },
     "execution_count": 90,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# К 1 столбцу прибавим 2-ой * 2\n",
    "# Из 3 столбца вычтем 2-й\n",
    "A268_1 = sympy.Matrix([[-1,-4,2], [-1,-13,-6],[-3,-11,18]])\n",
    "A268_1, A268_1.det()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 91,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left ( \\left[\\begin{matrix}0 & 9 & 8\\\\-1 & -13 & -6\\\\0 & 28 & 36\\end{matrix}\\right], \\quad 100\\right )$$"
      ],
      "text/plain": [
       "⎛⎡0    9   8 ⎤     ⎞\n",
       "⎜⎢           ⎥     ⎟\n",
       "⎜⎢-1  -13  -6⎥, 100⎟\n",
       "⎜⎢           ⎥     ⎟\n",
       "⎝⎣0   28   36⎦     ⎠"
      ]
     },
     "execution_count": 91,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Из 1 строки вычтем 2-ую\n",
    "# Из 3 строки вычтем 2-ую * 3\n",
    "A268_1 = sympy.Matrix([[0,9,8], [-1,-13,-6],[0,28,36]])\n",
    "A268_1, A268_1.det()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 92,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left ( \\left[\\begin{matrix}9 & 8\\\\28 & 36\\end{matrix}\\right], \\quad 100\\right )$$"
      ],
      "text/plain": [
       "⎛⎡9   8 ⎤     ⎞\n",
       "⎜⎢      ⎥, 100⎟\n",
       "⎝⎣28  36⎦     ⎠"
      ]
     },
     "execution_count": 92,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Разложим по 1 столбцу\n",
    "A268_11 = sympy.Matrix([[9,8],[28,36]])\n",
    "A268_11, -(-1) * A268_11.det()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 93,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left ( 100, \\quad 100\\right )$$"
      ],
      "text/plain": [
       "(100, 100)"
      ]
     },
     "execution_count": 93,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "9 * 36 - 8 * 28, 4 * (81 - 56)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 94,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAB0AAAAOBAMAAAAh/woJAAAAMFBMVEX///8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAMt0Qq5nNdrvviSJUZkQZkPbxAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAi0lEQVQIHWNgYFRmYGBYVboBSpiEfWZgYDvArA0hGBjYgfxLDAwrIASE38LAcN4ATED4XxkY3h8AE2A+M4h5GURcAPO5fzEwyFeDiAIEfzWIvwCiHsh8XwwiIPIMQK3nQeadPwCWZ+hgYLhvACYg/JsMDGEMYALCZzrAPJEBTDCwdH5yZ2BeXiIAIQCM7T9gMSQe6wAAAABJRU5ErkJggg==\n",
      "text/latex": [
       "$$100$$"
      ],
      "text/plain": [
       "100"
      ]
     },
     "execution_count": 94,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "deternminant([[6,-5,8,4], [9,7,5,2],[7,5,3,7],[-4,8,-8,-3]])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "[Алгебраические дополнения и миноры. Виды миноров и алгебраических дополнений.](https://math1.ru/education/matrix/minor.html)\n",
    "\n",
    "[Как найти обратную матрицу](http://mathprofi.ru/kak_naiti_obratnuyu_matricu.html)\n",
    "\n",
    "![Обратная матрица 2-ого порядка](math_images/la102_04.png)\n",
    "\n",
    "---\n",
    "\n",
    "Решить матричные уравнения: / Solve the matrix equations:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 95,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left ( \\left[\\begin{matrix}3 & -2\\\\5 & -4\\end{matrix}\\right], \\quad \\left[\\begin{matrix}-1 & 2\\\\-5 & 6\\end{matrix}\\right]\\right )$$"
      ],
      "text/plain": [
       "⎛⎡3  -2⎤  ⎡-1  2⎤⎞\n",
       "⎜⎢     ⎥, ⎢     ⎥⎟\n",
       "⎝⎣5  -4⎦  ⎣-5  6⎦⎠"
      ]
     },
     "execution_count": 95,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 862\n",
    "# X862 * A862 = B862\n",
    "A862 = sympy.Matrix([[3,-2],[5,-4]])\n",
    "B862 = sympy.Matrix([[-1,2],[-5,6]])\n",
    "A862,  B862"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 96,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left[\\begin{matrix}3 & 5\\\\-2 & -4\\end{matrix}\\right]$$"
      ],
      "text/plain": [
       "⎡3   5 ⎤\n",
       "⎢      ⎥\n",
       "⎣-2  -4⎦"
      ]
     },
     "execution_count": 96,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "A862.transpose()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 97,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAEYAAAAzBAMAAADY72PFAAAAMFBMVEX///8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAEN2ZRGbNMqt2iSLvu1SNNDIVAAAACXBIWXMAAA7EAAAOxAGVKw4bAAABiklEQVQ4Ee3VPUsDQRAG4PeMISaXhAT/QAgKdokcqI0QrCwsbCwFsRAb8UBE7FQQgk1qQTG2ViEiaGVrIURLq6S2Ej8RjeducXczOyERKwu3ydzuw8zuLJdDNptFt6HXC95TN4Km18ZQV6EX539h1mhW21lxO+QZoeYciWdp4sxsA9fSrC/TPI0MKjWx5yozO0BFbYifK15jRuUsiFpnMEzsXZiqafqKvrEW83q40ZppHEX4fi5gmKhOw810ufy5p2f9cQ9bnh1X/rL+jVURzxh51HSbmrrjqBbxWsCYd0fQque9SkNAGPI+h/M0+je0GzLm/XFhqXs2BzeNpby652DYJ5Ml9cBN/vE4ACoYRPRLmC0qgKOWJe/dMDMl9DRA+kXU2t0f59WmZoW5xWWJos2yKwyQylGDdHAu/x1Uy5EPZqD+Onh/UguIvBGzATRbhknmMPAQGsvLSJMAkjeh0S+kqGUXcaDqB2OuU39OJ0YDoIJ+p8OdUhDG/N7DeRr9PTPc8xt3+JNv3Dc9yWlGN8GmKgAAAABJRU5ErkJggg==\n",
      "text/latex": [
       "$$\\left[\\begin{matrix}-4 & 2\\\\-5 & 3\\end{matrix}\\right]$$"
      ],
      "text/plain": [
       "⎡-4  2⎤\n",
       "⎢     ⎥\n",
       "⎣-5  3⎦"
      ]
     },
     "execution_count": 97,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "A862.adjugate()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 98,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAABkAAAAOBAMAAAAoFKpzAAAAMFBMVEX///8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAEM3dMiKZu6uJRO92ZlRfaCDxAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAX0lEQVQIHWNggALWNHUHGJuBIYKB8xeC18jAsBvB2y/A0B8A5zYzMPQ7wHlAhj0yh+UPMo85gYFByBgETIDCachSvEApBHjJwIqwgWUCA48AXC44LQ1oJQzo////iQEAjikQ0wptu4sAAAAASUVORK5CYII=\n",
      "text/latex": [
       "$$-2$$"
      ],
      "text/plain": [
       "-2"
      ]
     },
     "execution_count": 98,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "A862.det()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 99,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left[\\begin{matrix}2 & -1\\\\\\frac{5}{2} & - \\frac{3}{2}\\end{matrix}\\right]$$"
      ],
      "text/plain": [
       "⎡ 2    -1 ⎤\n",
       "⎢         ⎥\n",
       "⎣5/2  -3/2⎦"
      ]
     },
     "execution_count": 99,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "1 / A862.det() * A862.adjugate()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 100,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left[\\begin{matrix}-6 & 4\\\\-10 & 8\\end{matrix}\\right]$$"
      ],
      "text/plain": [
       "⎡-6   4⎤\n",
       "⎢      ⎥\n",
       "⎣-10  8⎦"
      ]
     },
     "execution_count": 100,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "B862 * A862.adjugate() # / A862.det()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 101,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left[\\begin{matrix}3 & -2\\\\5 & -4\\end{matrix}\\right]$$"
      ],
      "text/plain": [
       "⎡3  -2⎤\n",
       "⎢     ⎥\n",
       "⎣5  -4⎦"
      ]
     },
     "execution_count": 101,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "B862 * A862.adjugate() / A862.det()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 102,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAEYAAAAzBAMAAADY72PFAAAAMFBMVEX///8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAEN2ZRGYiibtUds3vMqtNptRAAAAACXBIWXMAAA7EAAAOxAGVKw4bAAABjUlEQVQ4Ee3VQUsCQRQH8L+pu2K7qecOiuQxNPZcBH0BTxF0SOrQrYy+gEH3vHVUOkREhMegg5eOkfsRLOiYZkVoEdtMu7OOzGv1GvTA3eHNz7e7b3ZYpFIpBAWfzzuvQQRHTh9zgYJPrk1stvcPqWqadWWLOqECNqoE2oH+Jkx8gHSDMPfArTCRGyQo00qiWxrec61I1HkAurZvIjmC8FSe/dxnNy+faGN++AaoVUk0VZCM0ZPMbJbHPMtYPPtzLdNGbCAZfxjlZVyT7v1ijqGVPGO0MXItUccsI570TLQIsj+blsVa5D37ikWuadNxPn0jitPnyd8f+v8i+1/HRqgkuqGe3f60rrNsfYkwh+9h9mWPACw11WYHtw4fkXHSZulgY66PN/r00DyeL7KaapxK5gC7y6qAVpQMEMsQRseICb9LRuzBVcnEGgh/ScYbanXJGBnMPKsm0ul078pef3TAqKiGZdju9IxWwAW9XomKMNhaWmBjNcLNfl2shTorZ/7m3smN/cadTfKN+wbZImxuhIr6AwAAAABJRU5ErkJggg==\n",
      "text/latex": [
       "$$\\left[\\begin{matrix}3 & -2\\\\5 & -4\\end{matrix}\\right]$$"
      ],
      "text/plain": [
       "⎡3  -2⎤\n",
       "⎢     ⎥\n",
       "⎣5  -4⎦"
      ]
     },
     "execution_count": 102,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Ответ / Answer\n",
    "B862 * A862.inv()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 103,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 103,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "A862.inv() == 1 / A862.det() * A862.adjugate()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 104,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left ( \\left[\\begin{matrix}3 & -1\\\\5 & -2\\end{matrix}\\right], \\quad \\left[\\begin{matrix}5 & 6\\\\7 & 8\\end{matrix}\\right], \\quad \\left[\\begin{matrix}14 & 16\\\\9 & 10\\end{matrix}\\right]\\right )$$"
      ],
      "text/plain": [
       "⎛⎡3  -1⎤  ⎡5  6⎤  ⎡14  16⎤⎞\n",
       "⎜⎢     ⎥, ⎢    ⎥, ⎢      ⎥⎟\n",
       "⎝⎣5  -2⎦  ⎣7  8⎦  ⎣9   10⎦⎠"
      ]
     },
     "execution_count": 104,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 863\n",
    "# A863 * X863 * B863  = C863\n",
    "A863 = sympy.Matrix([[3,-1],[5,-2]])\n",
    "B863 = sympy.Matrix([[5,6],[7,8]])\n",
    "C863 = sympy.Matrix([[14,16],[9,10]])\n",
    "A863,  B863, C863"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 105,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left ( \\left[\\begin{matrix}-2 & 1\\\\-5 & 3\\end{matrix}\\right], \\quad \\left[\\begin{matrix}8 & -6\\\\-7 & 5\\end{matrix}\\right]\\right )$$"
      ],
      "text/plain": [
       "⎛⎡-2  1⎤  ⎡8   -6⎤⎞\n",
       "⎜⎢     ⎥, ⎢      ⎥⎟\n",
       "⎝⎣-5  3⎦  ⎣-7  5 ⎦⎠"
      ]
     },
     "execution_count": 105,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 1)\n",
    "A863.adjugate(), B863.adjugate()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 106,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left ( -1, \\quad -2\\right )$$"
      ],
      "text/plain": [
       "(-1, -2)"
      ]
     },
     "execution_count": 106,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 2)\n",
    "A863.det(), B863.det()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 107,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left[\\begin{matrix}-19 & -22\\\\-43 & -50\\end{matrix}\\right]$$"
      ],
      "text/plain": [
       "⎡-19  -22⎤\n",
       "⎢        ⎥\n",
       "⎣-43  -50⎦"
      ]
     },
     "execution_count": 107,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 3)\n",
    "A863.adjugate() * C863"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 108,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAEoAAAAzBAMAAADC04NLAAAAMFBMVEX///8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAEN2ZRGYyq812u+8iiVQ3E2QEAAAACXBIWXMAAA7EAAAOxAGVKw4bAAACNElEQVQ4Ee2VP2gUURDGvz1ze9m7jb7DVjgChkNQLrBNuggWlgl2apElIhYWagIGBEmwCdgkkCIgiEEU/zQaCQpaZJMgYhFykEohsK2FxOApMWLWmbf7bmdDuERsLJzie3Pzfjszb459i3K5jNbGRC362hrCs2gLR/dgePvcn1CDCjjgXZNpXe+2Dy1JLmt4QsE6hsuBwN6howEtzYr3FArPUewWFCV+Ay2SOjSGji+CmlcYDbRIqjID57ughoBRX4ukOFdDUOTW+CdLMomkr28cbpr9g1wtKWXN4dJ2k2Anx4fRklI4fPeT7AvwGNUiKJrrBseN5TmVFtEXhdpnDMHrZ7hBLII6OIsVX1B2HY7SIs/odOKhgLDoeUOxGOrGfHUSa6snJTURRZvQYii5u5ufnHG3LRH7T5lh/O0kbODIzlwXgOXVBybKa2nzViewNhWQbypWYXVjIKSIsVzthEJ7aB2nQEI5VTjbqIwZhNYC+2eAj7Qk1MVxtM2BXrbUNPUIWFdNqj7O2+v9KRTnoqutLzSUEzDV1iUgFM5O+RZT9Ghc8S2IsqevS6qo3Ib7C7gyaag6U1QxlBhwX1P1hMoHMVXKvI9A7wLl6jO53oMo20dR3gCPifKpLy6g+zo9MvLzZmUjS72gmwlPgQFl+gJeoXQVmYrUzmucB3qo12Sq2EK+PzuvJTizyIXWy5TqiZ7glJf5t11vmK7kD9N+SpHXykzFVkza179Hde3jK3pnf1/R36C3q2SAk3QZAAAAAElFTkSuQmCC\n",
      "text/latex": [
       "$$\\left[\\begin{matrix}19 & 22\\\\43 & 50\\end{matrix}\\right]$$"
      ],
      "text/plain": [
       "⎡19  22⎤\n",
       "⎢      ⎥\n",
       "⎣43  50⎦"
      ]
     },
     "execution_count": 108,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 4)\n",
    "A863.adjugate() * C863 / A863.det()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 109,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left[\\begin{matrix}-2 & -4\\\\-6 & -8\\end{matrix}\\right]$$"
      ],
      "text/plain": [
       "⎡-2  -4⎤\n",
       "⎢      ⎥\n",
       "⎣-6  -8⎦"
      ]
     },
     "execution_count": 109,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 5)\n",
    "A863.adjugate() * C863 / A863.det() * B863.adjugate()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 110,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAADUAAAAzBAMAAADFkV1eAAAAMFBMVEX///8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAEN2ZRGYyq812u+8iiVQ3E2QEAAAACXBIWXMAAA7EAAAOxAGVKw4bAAABRUlEQVQ4EeXUv0rDQBwH8G9q7rBtQpPRqYvFsYU8gi+Q0UEw+AStggWXOLskuLgIZvARBAeHFhcnoeAL9AVEig7aofFak8vv5E46Cv6m4z73+91fDr7vQxOW73vo5m8aQiPPM2zrZNnH1rBDbzmyDCc4j8o86zhR7BHue2nAtWID4N5kIw/xGKxYi5p3BMSRwQB0TTUB/mm2Ws9sgSjLtGsBE2kme4EzNhifoO4Z7CEIxBbZ93yno50UVSR5/iGt6iYttsb9keGy+U/ynp5v5JZXDS7v3erhYKpgrV+edX2B9pliF9LsW7QU43vSRMprSPPcTWJ2hxKuiPHLE2pOSEzUnBJ0oVhzRmyfGI/QWFTmpMTaM8Xs4TC+m4Ct3lKzD6UmIHoKY+GP/aGVlYbdQD3rjWSeFnnQBvtbb7dj+lu3st/+1i97FG0ZlFgyiwAAAABJRU5ErkJggg==\n",
      "text/latex": [
       "$$\\left[\\begin{matrix}1 & 2\\\\3 & 4\\end{matrix}\\right]$$"
      ],
      "text/plain": [
       "⎡1  2⎤\n",
       "⎢    ⎥\n",
       "⎣3  4⎦"
      ]
     },
     "execution_count": 110,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 6)\n",
    "A863.adjugate() * C863 / A863.det() * B863.adjugate() / B863.det()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 111,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left[\\begin{matrix}1 & 2\\\\3 & 4\\end{matrix}\\right]$$"
      ],
      "text/plain": [
       "⎡1  2⎤\n",
       "⎢    ⎥\n",
       "⎣3  4⎦"
      ]
     },
     "execution_count": 111,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Ответ / Answer\n",
    "A863.inv() * C863 *  B863.inv() "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 112,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/latex": [
       "$$\\left ( \\left[\\begin{matrix}1 & 2\\\\3 & 4\\end{matrix}\\right], \\quad \\left[\\begin{matrix}- \\frac{169}{2} & -99\\\\- \\frac{449}{2} & -263\\end{matrix}\\right], \\quad \\left[\\begin{matrix}10 & -6\\\\8 & -5\\end{matrix}\\right], \\quad \\left[\\begin{matrix}-649 & 479\\\\- \\frac{817}{2} & \\frac{603}{2}\\end{matrix}\\right], \\quad \\left[\\begin{matrix}-228 & 131\\\\208 & - \\frac{239}{2}\\end{matrix}\\right], \\quad \\left[\\begin{matrix}53 & 62\\\\-41 & -48\\end{matrix}\\right]\\right )$$"
      ],
      "text/plain": [
       "⎛⎡1  2⎤  ⎡-169/2  -99 ⎤  ⎡10  -6⎤  ⎡ -649    479 ⎤  ⎡-228   131  ⎤  ⎡53   62 ⎤\n",
       "⎜⎢    ⎥, ⎢            ⎥, ⎢      ⎥, ⎢             ⎥, ⎢            ⎥, ⎢        ⎥\n",
       "⎝⎣3  4⎦  ⎣-449/2  -263⎦  ⎣8   -5⎦  ⎣-817/2  603/2⎦  ⎣208   -239/2⎦  ⎣-41  -48⎦\n",
       "\n",
       "⎞\n",
       "⎟\n",
       "⎠"
      ]
     },
     "execution_count": 112,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "A863.inv() * C863 * B863.inv(), A863.inv() * B863.inv() * C863, \\\n",
    "C863 * B863.inv() * A863.inv(), C863 * A863.inv() * B863.inv(), \\\n",
    "B863.inv() * C863 * A863.inv(), B863.inv() * A863.inv()  * C863"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 113,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left ( \\left[\\begin{matrix}1 & 2 & -3\\\\3 & 2 & -4\\\\2 & -1 & 0\\end{matrix}\\right], \\quad \\left[\\begin{matrix}1 & -3 & 0\\\\10 & 2 & 7\\\\10 & 7 & 8\\end{matrix}\\right]\\right )$$"
      ],
      "text/plain": [
       "⎛⎡1  2   -3⎤  ⎡1   -3  0⎤⎞\n",
       "⎜⎢         ⎥  ⎢         ⎥⎟\n",
       "⎜⎢3  2   -4⎥, ⎢10  2   7⎥⎟\n",
       "⎜⎢         ⎥  ⎢         ⎥⎟\n",
       "⎝⎣2  -1  0 ⎦  ⎣10  7   8⎦⎠"
      ]
     },
     "execution_count": 113,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 864\n",
    "# A864 * X864 = B864\n",
    "A864 = sympy.Matrix([[1,2,-3],[3,2,-4], [2,-1,0]])\n",
    "B864 = sympy.Matrix([[1,-3,0],[10,2,7],[10,7,8]])\n",
    "A864,  B864"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 114,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left[\\begin{matrix}-4 & 3 & -2\\\\-8 & 6 & -5\\\\-7 & 5 & -4\\end{matrix}\\right]$$"
      ],
      "text/plain": [
       "⎡-4  3  -2⎤\n",
       "⎢         ⎥\n",
       "⎢-8  6  -5⎥\n",
       "⎢         ⎥\n",
       "⎣-7  5  -4⎦"
      ]
     },
     "execution_count": 114,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Минором к элементу  aij определителя  n-го порядка называется \n",
    "# определитель (n-1)-го порядка, полученный из исходного вычеркиванием i-той строки и  j-того столбца.\n",
    "# Матрица миноров:\n",
    "A864.adjugate()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 115,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAAgAAAAOBAMAAADgeEClAAAAIVBMVEX///8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADdcGRXAAAACnRSTlMAMt0Qq5nNdrvvxbMB0AAAAAlwSFlzAAAOxAAADsQBlSsOGwAAABtJREFUCB1jYGBUZmAwCVvMwMDAThbB0rnIHQBAqQoWQ8kakgAAAABJRU5ErkJggg==\n",
      "text/latex": [
       "$$1$$"
      ],
      "text/plain": [
       "1"
      ]
     },
     "execution_count": 115,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "A864.det()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 116,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAFgAAABLCAMAAADDCbAzAAAAOVBMVEX///8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACXHtMAAAAEnRSTlMAMquJZkQiEEAw3c2Zu1TvdnwZpirkAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAC0ElEQVRYCe2ZYXOkIAyGERGvCIvH//+xRxDYZDWh1+50pjPywWV9zWOMAYOqKZWm1ZuaO3hKTWk2uS1v4iqAGZ0AbN/CnICyVpah4Dm3orNnmjwrxbRtzq2HTsDW5XBox1qC4Phb4Vxyc+UqAt7AmxAk8C6AySkx+JHa6Vj0ZDZiTg4kCgZvkRx39WdWXwGnbZp3L2XdbkWw2Xffbj3yeE2byV7Gx5WrZZ/NuuBxyJG0qTpGwDn1lPKRjfScZQFcTh5qUiGwSmWfaecsx+GNgdwfgX0dbRjsNsCYBAG5aHaHnTw4FHOfjihj8HEVrMeLhpaihohctFguGOYIaBi81BgfCrONJFvxQcf5Yh1fGKxC1lYhKwCT2IFpYdzu7dYTsJq91y0RsTO977eUQol13/Xs2GztW0pR8POgb/ducA/hHYo7FD0CvfMzWZEH+xbEuWJq9Uj3DHWIOfbYwow4sw8Qteo8B7VJBgFrl5pjsC5GUSoCdgFMzTE4FistlYgSmJpj8FG16frQOl9r3iOBqTkGHyhXH1r/DabmJ/CUuAcEGEoeF3A3P4EdX/9+BtzNX8Fe5A49fpoD+E/6KJeRN0bmjsDI/G8GP9cgD6gNrLAikWOMzUkoplJz7Pzgkj0m5hhsnc9NXINIHlNzDM7FCLRS27Wgk18dYnKaS0dqjsEE8t0/N7hH8A7FHYoegd75mayw8+yDsEgf6ETGHq8wy5vELtIHOpUxeAdmfgfQ4/TSGehUxuAlQhh48ECnMgYXBx/cGr26P9C7/ApeHLP2r9yB/pQpeNq1uOQd6Fim4OzWg8+KGio2a0Dv5iewOorGArncDPQmY/BUivnAujzQqYzAayr1MQse6C8yAqvj5Um7lnMcBjqVMdhApvVEPIMHOpUxWC25EJImoYFOZAI+O/n1PTe4x+63hqLUxey7xX55n+z0Dyxr+SLy5g8sebj8AwMZJS2z5zJSAAAAAElFTkSuQmCC\n",
      "text/latex": [
       "$$\\left[\\begin{matrix}6 & 4 & 5\\\\2 & 1 & 2\\\\3 & 3 & 3\\end{matrix}\\right]$$"
      ],
      "text/plain": [
       "⎡6  4  5⎤\n",
       "⎢       ⎥\n",
       "⎢2  1  2⎥\n",
       "⎢       ⎥\n",
       "⎣3  3  3⎦"
      ]
     },
     "execution_count": 116,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Ответ / Answer\n",
    "A864.inv() * B864"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 117,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left ( \\left[\\begin{matrix}5 & 3 & 1\\\\1 & -3 & -2\\\\-5 & 2 & 1\\end{matrix}\\right], \\quad \\left[\\begin{matrix}-8 & 3 & 0\\\\-5 & 9 & 0\\\\-2 & 15 & 0\\end{matrix}\\right]\\right )$$"
      ],
      "text/plain": [
       "⎛⎡5   3   1 ⎤  ⎡-8  3   0⎤⎞\n",
       "⎜⎢          ⎥  ⎢         ⎥⎟\n",
       "⎜⎢1   -3  -2⎥, ⎢-5  9   0⎥⎟\n",
       "⎜⎢          ⎥  ⎢         ⎥⎟\n",
       "⎝⎣-5  2   1 ⎦  ⎣-2  15  0⎦⎠"
      ]
     },
     "execution_count": 117,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 865\n",
    "# X865 * A865 = B865\n",
    "A865 = sympy.Matrix([[5,3,1],[1,-3,-2], [-5,2,1]])\n",
    "B865 = sympy.Matrix([[-8,3,0],[-5,9,0],[-2,15,0]])\n",
    "A865,  B865"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 118,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left[\\begin{matrix}1 & -1 & -3\\\\9 & 10 & 11\\\\-13 & -25 & -18\\end{matrix}\\right]$$"
      ],
      "text/plain": [
       "⎡ 1   -1   -3 ⎤\n",
       "⎢             ⎥\n",
       "⎢ 9   10   11 ⎥\n",
       "⎢             ⎥\n",
       "⎣-13  -25  -18⎦"
      ]
     },
     "execution_count": 118,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "A865.adjugate()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 119,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAABMAAAAOBAMAAAA/Njq6AAAAMFBMVEX///8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAMt0Qq5nNdrvvIolEZlSFnHVmAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAbUlEQVQIHWNgYFRmYGAIDTFgYDAJ+8zAYFTAOAsowA5kejIwtEKZ3xgY9kOYzD8YGOoFIApAogfgavsvQJiWBxj9H0CYzOH7YGqBuuOBdoDMBYIMIAYxXxpwfYQyiww4gAawdH5yZ+DeHcPAAADEhSHdkj7jEQAAAABJRU5ErkJggg==\n",
      "text/latex": [
       "$$19$$"
      ],
      "text/plain": [
       "19"
      ]
     },
     "execution_count": 119,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "A865.det()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 120,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left[\\begin{matrix}19 & 38 & 57\\\\76 & 95 & 114\\\\133 & 152 & 171\\end{matrix}\\right]$$"
      ],
      "text/plain": [
       "⎡19   38   57 ⎤\n",
       "⎢             ⎥\n",
       "⎢76   95   114⎥\n",
       "⎢             ⎥\n",
       "⎣133  152  171⎦"
      ]
     },
     "execution_count": 120,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "B865 * A865.adjugate()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 121,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left[\\begin{matrix}1 & 2 & 3\\\\4 & 5 & 6\\\\7 & 8 & 9\\end{matrix}\\right]$$"
      ],
      "text/plain": [
       "⎡1  2  3⎤\n",
       "⎢       ⎥\n",
       "⎢4  5  6⎥\n",
       "⎢       ⎥\n",
       "⎣7  8  9⎦"
      ]
     },
     "execution_count": 121,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "B865 * A865.adjugate() / A865.det()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 122,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left[\\begin{matrix}1 & 2 & 3\\\\4 & 5 & 6\\\\7 & 8 & 9\\end{matrix}\\right]$$"
      ],
      "text/plain": [
       "⎡1  2  3⎤\n",
       "⎢       ⎥\n",
       "⎢4  5  6⎥\n",
       "⎢       ⎥\n",
       "⎣7  8  9⎦"
      ]
     },
     "execution_count": 122,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Ответ / Answer\n",
    "B865 * A865.inv()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 123,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left ( \\left[\\begin{matrix}2 & -3 & 1\\\\4 & -5 & 2\\\\5 & -7 & 3\\end{matrix}\\right], \\quad \\left[\\begin{matrix}9 & 7 & 6\\\\1 & 1 & 2\\\\1 & 1 & 1\\end{matrix}\\right], \\quad \\left[\\begin{matrix}2 & 0 & -2\\\\18 & 12 & 9\\\\23 & 15 & 11\\end{matrix}\\right]\\right )$$"
      ],
      "text/plain": [
       "⎛⎡2  -3  1⎤  ⎡9  7  6⎤  ⎡2   0   -2⎤⎞\n",
       "⎜⎢        ⎥  ⎢       ⎥  ⎢          ⎥⎟\n",
       "⎜⎢4  -5  2⎥, ⎢1  1  2⎥, ⎢18  12  9 ⎥⎟\n",
       "⎜⎢        ⎥  ⎢       ⎥  ⎢          ⎥⎟\n",
       "⎝⎣5  -7  3⎦  ⎣1  1  1⎦  ⎣23  15  11⎦⎠"
      ]
     },
     "execution_count": 123,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 866\n",
    "# A866 * X866 * B866  = C866\n",
    "A866 = sympy.Matrix([[2,-3,1],[4,-5,2],[5,-7,3]])\n",
    "B866 = sympy.Matrix([[9,7,6],[1,1,2],[1,1,1]])\n",
    "C866 = sympy.Matrix([[2,0,-2],[18,12,9],[23,15,11]])\n",
    "A866,  B866, C866"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 124,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAW4AAABLCAMAAABnap2MAAAAPFBMVEX///8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAo1xBWAAAAE3RSTlMAzUSZq1TvEGYy3Xa7iSJQQDB8rw0HegAAAAlwSFlzAAAOxAAADsQBlSsOGwAACb9JREFUeAHtneu6ojgQRUVQlIvTM7z/u04Sctl1CSSNp+X0d/xDESrJqm0MAUq9XOKrua7mc3GvLh7408awAtR1+3FqwCUBvIYeDkWzDfo+l/lhXl78ePzPGbb3R7fUdfhxasClAcxBWPC43O7hTXguLzzwIftRLfcZqEGsFMD9AcWr2aeyLbmf+ieDNvdq22Z60rKiPWw90RZVvRymTt0gRipVrX4e51afB1IAVzl+uyY2lwXvu7ZZwmcgugvjZT8886JDCO9YwFpPtNFj0zhKHRpnGKE4s21teXfTjkIA3cQcnqBOFtzUGQvk7tw7cr+zLgp2sXWgLah52Rzd2G5BY+XuDzdN9GmoQusQwGthb0gDNY7KfXdvSSc/QcCimxgn0OrOrPQoNTSHGFCsmLMbtrtyX6aBVL7B4D48TjrXdrfUz94Y57eQ+7pM5qPcylOhURcDeC4j6t2g+u8ZJ0PlysLifDu5L92yjC2bKbywKPdlwqmViv8WuWmT+NZu2N9PbrMkWBp9BUrkvuHs3ZET4FvkHtw5e0Na7dD3k/s2v6YFZ+IUFpH7sqSTY7+QhUqUu2+G9FpnYhQktSytdl/tndYpreyBl/wu9Q4G74buP2yYtyVeIeJRGgCcyh440t+ypHIY2HeZjW8mpd2vH+VWXLFd5TAvKndfdRbrPNcgDeC6zKGbicwlh1cm5v22Tb/0KS10qm0xTkqredOyT8jd++VApy1NWABLOFn2C65L3jC6n+6NHPevP6lg33Blcl+H1KSNLCb3FBbGjzTOXfxHx8lraM1rXX1zQbf3v9vovlwbO6YeZFEdQmRyj0Hljp1Z83J3030ZOrXx0InZNuvt6nQqhmNbJm2d0W5VdMeOUscOKEYs1o1nZ0aWfneIBfAMa5M7uyDJg+tdfk0po93t5BzUgMkDWFaZ+dS9eaqE5r7Y5LR73Z1e7madRG501b19qtwL+n3H/zq52/W+SRvm8CDVOcbJXyf3Y3EP0Rp6kfMzusOwO7jl4+W5rrzvYUEYmv8Z3UGJQ1sud7+eKxd6Tfkzug+JnCpzuS+LfeDy8guU5PczupMWBywh92CXJjd2Cf8zug9IjFWF3M1ibq2M4Wonuv6M7ijFEUPI3dkl4MyX3T+XOUdETnWF3K1dCXbrcjC5bchdnK9TkRhjO57nseU31QQtEGqm9pmswnjNczvptz+0/qAsdEPlEQG4gT0t/MGLBu4aL8zXqUuMMS035tlqPzC9BS3Ep5mCuhKjtzKwBy1aP7wsdcPkEQHMdtpuyuUuz9fBO6mcT+w/3O32NWUjHRS06ZBqCbmNVw3GaK/2enEiU/tihb4bJo8IYLSLkoZfw+cnk/J8nZo4L5O7uL2x5b+gZTHy3aNyX+92IjkiN5NHBPCwcg/lcpfn61TJvX68ruxegqDl+rL9o3K75m52rVb9CqPbfUrjM2ARwMNexQ80wcf0pYEDQkm+To3cfZCbRipoAUEzNeoaDNvmdaAMWj9KGekmyiMCuNkLyrt4QzXw1ElRvg4BSHVV67V+vHi7glatnAo16hoMM8zGrqtPtDME2E0KQwTg5F4q5S7K10GApIhuRbljZoDzE7R67Vh6XG7TFEl2ik3vGRhtkkcEcLWje2FzJkwmSsbLpSBfx9AhwB5sv47uK5vUBO1OO2+R23zW9/IHFFEgWpBHBGC+PdQbuf9hgfxa/mUlabcwXwcAUt2ctc7dfGD9x56g5mqHco26BuPp5pFJDL7Q/sY2dYPyiAB+rXLzBE5tnPjOSvN1EsAGZTg0uZS5BxtXYnAE98xWo67AMHej7bg+JjeRRwRgRrc9VZbLXZyvUxGnuZRz+UUtS5SgtHsfcZgC4e2owbi71f/+ZALNBzN0Q+WhARhfN3cP5afK8nydABCAtreDvZ67s0UBoS242js4ui/uex+H1t1MHhKAFaBW7tJ8narEGMNhvr41iiUYpR12v/Em5a7EuJoEnd+5RRW7YfLQAILc7qa3FT++JHg89AcNRnvbm07OQQ0CsQBcYrI9OfAktHOAM1q6KIeognkO6kBjtiwAW2BOUlP5PRNo6+tNStvzMSEAzi+3uyPYld+AFSF+ZQGVe/9exvnldve73SMdots5wKncBFDdOQc1oIkAWvuYcvx5VgkavdEUcrt55CbuqJ9jnAjaHSXOQQ2QIgC3KPGpa+B3DnBBC4SaeQ5qIBMBuGRMn7oGfucAF7RAqJnnoAYyEcCajOlS18Bt72kOun6hLWh3+jq93P4mmEtdw1jOAf7Xye1n7Y7fo8rLXZ35EhJe8N2UNk2H8cffILeWLSR75yUqDXcK+xvOPIDHuiYZ+XVOVu7KzJeU8BLg9C1Lh/FOnFavm0oltZotlCpkLJ3mN5x5AHN4JsvuNEtw31l95kvRjViWDuM747SZgGOxoNazhaJ/ztBpMt5bzjyA8OSCJ3gL8NBXfeZLkdwsHcb3xmkDRG4rqPVsoVz1WK7TxMPU2HLmAQz+cdXAfsZIgJMuqu7AF8mtZwtxWgKh7AjqkL7CH1YpdbFIp0EPsLecWQB9+FL8zM6VAhzar8x8KZJ7bT6mw/jeGC0yqDanzmQLqXVlIaeRHlCiO7MAbiHT+BoM3wIHh4ZrM1/K5U7pML47RgsQusmpY/rK7q1bpT1Bo/jEoowzC6CLz4TZb9Bx8NiuM3iCAj3K9srlTukwvglGyxqWu5w6yr37YEK2dRE0ik8syjizANJX4Vv6Vb8IrmSwmD6yD6sV92K5IR3Gh8FoY3A5I1J7h0y2kKiuUBfmLvmmJPp6gAbwTFMI/JKM9eTgvllzoDrzpVRuTIfx3VHayJA1BLWeLZStDwcUGjjKzKwzDcAton1VOpsIcO/1G5kvhXKTdBjfG6VlMSq7glrPFlJq8iKNhvvE/bwzDaAJP9Zjao7kF00EeGi7PvOlTG6aDuN7o7QBIb8V1Hq2UL6BcESlCQf5dsOZBGB+7hqqponFFArw4Fif+VIkN0uH8b0R2kCwsZXUarbQRgvrIZ0mU23LmQRAfzpwxgQ9CR46q8x8iQkvob6+Zekw3onQ6hVJqaRWs4VIHW1Hp9E8TdmWMwbQk/FsvgIEY12CZzr70mKkLenoHNRAigGM7MIdP/XnAEdaCCJrnoMa8DCAO/8y5T0N73OAIy0EkTXPQQ14EAAO5tXjlob7OcCBFmLIm+egBr4UQM9uSlmn9IP15wBPtBDChnkOagBMASRp4XD8kts5wBMtMG6Y56AGwBjAVf1F3mco/fgf/pB/+YEANs2PUwMdDWDQf9fg6n8EoHf/svPpvyla/0UCYtgxP04NfKuAPo20R7X/BzpHb1zn1TBnAAAAAElFTkSuQmCC\n",
      "text/latex": [
       "$$\\left ( \\left[\\begin{matrix}-1 & 2 & -1\\\\-2 & 1 & 0\\\\-3 & -1 & 2\\end{matrix}\\right], \\quad \\left[\\begin{matrix}-1 & -1 & 8\\\\1 & 3 & -12\\\\0 & -2 & 2\\end{matrix}\\right]\\right )$$"
      ],
      "text/plain": [
       "⎛⎡-1  2   -1⎤  ⎡-1  -1   8 ⎤⎞\n",
       "⎜⎢          ⎥  ⎢           ⎥⎟\n",
       "⎜⎢-2  1   0 ⎥, ⎢1   3   -12⎥⎟\n",
       "⎜⎢          ⎥  ⎢           ⎥⎟\n",
       "⎝⎣-3  -1  2 ⎦  ⎣0   -2   2 ⎦⎠"
      ]
     },
     "execution_count": 124,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 1)\n",
    "A866.adjugate(), B866.adjugate()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 125,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left ( 1, \\quad -2\\right )$$"
      ],
      "text/plain": [
       "(1, -2)"
      ]
     },
     "execution_count": 125,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 2)\n",
    "A866.det(), B866.det()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 126,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left[\\begin{matrix}11 & 9 & 9\\\\14 & 12 & 13\\\\22 & 18 & 19\\end{matrix}\\right]$$"
      ],
      "text/plain": [
       "⎡11  9   9 ⎤\n",
       "⎢          ⎥\n",
       "⎢14  12  13⎥\n",
       "⎢          ⎥\n",
       "⎣22  18  19⎦"
      ]
     },
     "execution_count": 126,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 3)\n",
    "A866.adjugate() * C866"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 127,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left[\\begin{matrix}11 & 9 & 9\\\\14 & 12 & 13\\\\22 & 18 & 19\\end{matrix}\\right]$$"
      ],
      "text/plain": [
       "⎡11  9   9 ⎤\n",
       "⎢          ⎥\n",
       "⎢14  12  13⎥\n",
       "⎢          ⎥\n",
       "⎣22  18  19⎦"
      ]
     },
     "execution_count": 127,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 4)\n",
    "A866.adjugate() * C866 / A866.det()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 128,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left[\\begin{matrix}-2 & -2 & -2\\\\-2 & -4 & -6\\\\-4 & -6 & -2\\end{matrix}\\right]$$"
      ],
      "text/plain": [
       "⎡-2  -2  -2⎤\n",
       "⎢          ⎥\n",
       "⎢-2  -4  -6⎥\n",
       "⎢          ⎥\n",
       "⎣-4  -6  -2⎦"
      ]
     },
     "execution_count": 128,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 5)\n",
    "A866.adjugate() * C866 / A866.det() * B866.adjugate()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 129,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left[\\begin{matrix}1 & 1 & 1\\\\1 & 2 & 3\\\\2 & 3 & 1\\end{matrix}\\right]$$"
      ],
      "text/plain": [
       "⎡1  1  1⎤\n",
       "⎢       ⎥\n",
       "⎢1  2  3⎥\n",
       "⎢       ⎥\n",
       "⎣2  3  1⎦"
      ]
     },
     "execution_count": 129,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 6)\n",
    "A866.adjugate() * C866 / A866.det() * B866.adjugate() / B866.det()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 130,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left[\\begin{matrix}1 & 1 & 1\\\\1 & 2 & 3\\\\2 & 3 & 1\\end{matrix}\\right]$$"
      ],
      "text/plain": [
       "⎡1  1  1⎤\n",
       "⎢       ⎥\n",
       "⎢1  2  3⎥\n",
       "⎢       ⎥\n",
       "⎣2  3  1⎦"
      ]
     },
     "execution_count": 130,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Ответ / Answer\n",
    "A866.inv() * C866 *  B866.inv() "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 131,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left ( \\left[\\begin{matrix}2 X_{0, 0} - 3 X_{1, 0} & 2 X_{0, 1} - 3 X_{1, 1}\\\\4 X_{0, 0} - 6 X_{1, 0} & 4 X_{0, 1} - 6 X_{1, 1}\\end{matrix}\\right], \\quad \\left[\\begin{matrix}2 & 3\\\\4 & 6\\end{matrix}\\right]\\right )$$"
      ],
      "text/plain": [
       "⎛⎡2⋅X₀₀ - 3⋅X₁₀  2⋅X₀₁ - 3⋅X₁₁⎤  ⎡2  3⎤⎞\n",
       "⎜⎢                            ⎥, ⎢    ⎥⎟\n",
       "⎝⎣4⋅X₀₀ - 6⋅X₁₀  4⋅X₀₁ - 6⋅X₁₁⎦  ⎣4  6⎦⎠"
      ]
     },
     "execution_count": 131,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 867\n",
    "# A867 * X867 = B867\n",
    "A867 = sympy.Matrix([[2,-3],[4,-6]])\n",
    "B867 = sympy.Matrix([[2,3],[4,6]])\n",
    "X867 = sympy.MatrixSymbol('X', 2, 2)\n",
    "A867 * X867.as_explicit(),  B867"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 132,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAAoAAAAOBAMAAADkjZCYAAAAMFBMVEX///8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAiXaZIs1UEN1mu6tEMu+iw/3TAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAV0lEQVQIHWNgYBQyYWBgCGOocGDgbGBgXMDAtYGB7TsDvwEDzzeGeiD5k8FfgIH3E5j8yFAvwMDzCSTL9o2BawED53cGzgcMzAEMDG0MdRcYGAqV9jIAAMSUErnbiJtLAAAAAElFTkSuQmCC\n",
      "text/latex": [
       "$$0$$"
      ],
      "text/plain": [
       "0"
      ]
     },
     "execution_count": 132,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "A867.det()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 133,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\n",
       "\\begin{cases}\n",
       "2 * X_{0,0} - 3 * X_{1,0} = 2 \\\\\n",
       "4 * X_{0,0} - 6 * X_{1,0} = 4 \\\\\n",
       "2 * X_{0,1} - 3 * X_{1,1} = 3 \\\\\n",
       "4 * X_{0,1} - 6 * X_{1,1} = 6\n",
       "\\end{cases} \\implies\n",
       " \\begin{pmatrix}\n",
       " 1.5 * X_{1,0} + 1& 1.5* X_{1,1} + 1.5  \\\\\n",
       "X_{1,0} & X_{1,1}\n",
       " \\end{pmatrix}, \\forall X_{1,0}, X_{1,1}\n",
       "$"
      ],
      "text/plain": [
       "<IPython.core.display.Latex object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%latex\n",
    "$\n",
    "\\begin{cases}\n",
    "2 * X_{0,0} - 3 * X_{1,0} = 2 \\\\\n",
    "4 * X_{0,0} - 6 * X_{1,0} = 4 \\\\\n",
    "2 * X_{0,1} - 3 * X_{1,1} = 3 \\\\\n",
    "4 * X_{0,1} - 6 * X_{1,1} = 6\n",
    "\\end{cases} \\implies\n",
    " \\begin{pmatrix}\n",
    " 1.5 * X_{1,0} + 1& 1.5* X_{1,1} + 1.5  \\\\\n",
    "X_{1,0} & X_{1,1}\n",
    " \\end{pmatrix}, \\forall X_{1,0}, X_{1,1}\n",
    "$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 138,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left \\{ a : \\frac{3 c}{2} + 1, \\quad b : \\frac{3 d}{2} + \\frac{3}{2}\\right \\}$$"
      ],
      "text/plain": [
       "⎧   3⋅c         3⋅d   3⎫\n",
       "⎨a: ─── + 1, b: ─── + ─⎬\n",
       "⎩    2           2    2⎭"
      ]
     },
     "execution_count": 138,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sympy.abc import a,b,c,d\n",
    "system = sympy.Matrix([ [2,0,-3,0,2], [4,0,-6,0,4], [0,2,0,-3, 3], [0,4,0,-6, 6] ])\n",
    "sympy.solve_linear_system(system, a,b,c,d)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 135,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left ( \\left[\\begin{matrix}3 X_{0, 0} + 4 X_{0, 1} & 6 X_{0, 0} + 8 X_{0, 1}\\\\3 X_{1, 0} + 4 X_{1, 1} & 6 X_{1, 0} + 8 X_{1, 1}\\end{matrix}\\right], \\quad \\left[\\begin{matrix}2 & 4\\\\9 & 18\\end{matrix}\\right]\\right )$$"
      ],
      "text/plain": [
       "⎛⎡3⋅X₀₀ + 4⋅X₀₁  6⋅X₀₀ + 8⋅X₀₁⎤  ⎡2  4 ⎤⎞\n",
       "⎜⎢                            ⎥, ⎢     ⎥⎟\n",
       "⎝⎣3⋅X₁₀ + 4⋅X₁₁  6⋅X₁₀ + 8⋅X₁₁⎦  ⎣9  18⎦⎠"
      ]
     },
     "execution_count": 135,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 868\n",
    "# X868 * A868 = B868\n",
    "A868 = sympy.Matrix([[3,6],[4,8]])\n",
    "B868 = sympy.Matrix([[2,4],[9,18]])\n",
    "X868 = sympy.MatrixSymbol('X', 2, 2)\n",
    "(X868 * A868).as_explicit(),  B868"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 136,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAAoAAAAOBAMAAADkjZCYAAAAMFBMVEX///8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAiXaZIs1UEN1mu6tEMu+iw/3TAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAV0lEQVQIHWNgYBQyYWBgCGOocGDgbGBgXMDAtYGB7TsDvwEDzzeGeiD5k8FfgIH3E5j8yFAvwMDzCSTL9o2BawED53cGzgcMzAEMDG0MdRcYGAqV9jIAAMSUErnbiJtLAAAAAElFTkSuQmCC\n",
      "text/latex": [
       "$$0$$"
      ],
      "text/plain": [
       "0"
      ]
     },
     "execution_count": 136,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "A868.det()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 169,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\n",
       "\\begin{cases}\n",
       "3 * X_{0,0} + 4 * X_{1,0} = 2 \\\\\n",
       "6 * X_{0,0} + 8 * X_{1,0} = 4 \\\\\n",
       "3 * X_{0,1} + 4 * X_{1,1} = 9 \\\\\n",
       "6 * X_{0,1} + 8 * X_{1,1} = 18\n",
       "\\end{cases} \\implies\n",
       " \\begin{pmatrix}\n",
       "X_{0,0} & 0.5 - 0.75 * X_{0,0}  \\\\\n",
       "X_{0,1} & 2.25 - 0.75 * X_{0,1}\n",
       " \\end{pmatrix}, \\forall X_{0,0}, X_{0,1}\n",
       "$"
      ],
      "text/plain": [
       "<IPython.core.display.Latex object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%latex\n",
    "$\n",
    "\\begin{cases}\n",
    "3 * X_{0,0} + 4 * X_{1,0} = 2 \\\\\n",
    "6 * X_{0,0} + 8 * X_{1,0} = 4 \\\\\n",
    "3 * X_{0,1} + 4 * X_{1,1} = 9 \\\\\n",
    "6 * X_{0,1} + 8 * X_{1,1} = 18\n",
    "\\end{cases} \\implies\n",
    " \\begin{pmatrix}\n",
    "X_{0,0} & 0.5 - 0.75 * X_{0,0}  \\\\\n",
    "X_{0,1} & 2.25 - 0.75 * X_{0,1}\n",
    " \\end{pmatrix}, \\forall X_{0,0}, X_{0,1}\n",
    "$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 170,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAZ0AAAAzBAMAAAC+kMi7AAAAMFBMVEX///8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAq0Rmid0iMu92ELuZVM0av29pAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAHZElEQVRoBd1aX2gcRRz+Xe5fspe7S1BRq5ATH4U2L4ogNIcESqCYtCUP9sFeUR986okWKgpJpVitxOahVaTFbFFBUzEHWqko9BTUWkrNi2ArmIgPSqmkVlPTtPb8/Znd272bmQ13aP8MZHdmf99+M9/M7OzsdwFQaXp62ste67OxKYaAMz3thtocKwBsqV0JXbuGhWO1y/raDW3M1GoVgMOuf9MtmNvol66DzEP6NhjbGEc96bPeTbEi5oxYD/V/nlvRA997LbyfMqLnBcwdqO2Cd5d+96LN58HBciQqXQXoOrZUdLa8NtvMoK4YiWx6trshvvRmLNL4QHePBFJ/01n0bKBs3yxkP6GMPj1ZiI1gxI5KEnnsH4AfS3oWvGomMutx7l5wg4SHTi1jkfXAJgkki3RmPV2sZ6wCWyUUOt6rSucgQ91hQCnQftKTvgwpOjekaCKzHoApN0TXVdfzg0Qe5DjreeZnyucuOppWwGnGQZYIMBlQEkyvZYaF0iEph47RRK3pyVW5ml18ZD1F1hO/omuFpyc3zngwoCSYyLGegROWjrEQtaan4yJVzgMm862rxHpg7yppVfioujX/69CXHNCj5J7XRU/nH26Yg0vRRK3pgXNEz0+u6HkcRM/wpKYV3vjM/AKdsxTXo/jOVL/oSVxqjahFPXMuVjdW5jppvhWVnr4RLCSGihQY3EdHSqpbZ85D9x4qM8pZS9kAiosJED2xxXpQIfGCjejtebqjRT0zNA53EAGPT7wkerq3XsALQ3AfHhOTHRU8wVejoy+PjtLylx+BOMUF9dx+inooylN6QOn5uq/gBwUZQZR+k7qyVT0ZunknEbCep0D0fIPrLMBuyJcAOsvATxleUN2anIf4n1gUlLyVAyiMQGpS9HSXcVH3Kfz3t4UIsu3oiWNT09Q2TDjf7untXboV+7MMW0qQusiPybYSTAjA04OdQOMjKBA9ARSBO3p7+3YWAdZBEmvwgo16dETt6XFQS0J1P+rBRIP1MMBAEdLLkOzHp8v1Xrueng58fsY9lNITQBELps4epC5A/K86RaMeHVF7eqj5mXGuX+13cKIdruIzskx6Oie5Ma8IwNMDH8N7sx6qrsdDKXC+As7nmK+51CUcbNSjI2pTzxHsyIq0gMfnVO3T5/fuho6FxR6cb/lZniy4CeOkpj0kTt4OHqo+3zyUYLsXLr9xdKkMq2sbaL5xsEmPhihaz117N2A3+yl2dPFOb/+GrxCAmarEZL75OPN6EIBQllvZsB6EIV6wSU8YJuHo9SB8l5RkP4rPSQHGlNomPUOwGt6hlXheMXjbyDAhNiOECkepRBROUSmnCxai6PEhgqbk6UExczipKDXpSQydgB2zMHjQ5bjh8MTCt5EopEhPACEtSYhSj1yh/rW9T3Ucnh6cbANlATTp4ctKrI4jcG0FqGwAbs56RK3qyffAVEnotXqyrrnuemQlqDN1uDnnE7WspwLDrvBr9cTNdQciK0H1B/DGrE/Uqp7OefjOFXqtHmPN/3GgVT3JEehTTbs59IzfdHputvk2XJIJdx3ON6fxKTW20Xv/4HowVQ7oMRp8Qebuk6uwaHcdE4Prov1EM5GsBzPzwWoxz3q2u6GrdT8RL+OuPvg+NRt8AQrnUdhRwrLNT0xthNsQYvcTLUSiJ7k5UC1lUY/NT8TvgirMFeQm0m53CtW2KzYOmSqCbX5irgqfIcTuJ1qIRA80voR5fKZcZK6ngJ+Im+sijKk3HWIjnEL1vZCfh8R55LP5iXOuVGj1Ey1ESk9RWPxjpB7cj+IQcUJsblyyBqdQ6ZmpQBc53gYUU/wmRGD1Ey1EoseZVDTeKVIPbq7R3uCE2AinMDA+F+gWi5949dmDBYLY/UQcaAOR6PG3P0RFKVIPbkZxFnNCbIRTqPTQtGcPZbix+4QIj87VfnFRrH6ihUjNN59QZSL14GYnvixg0hNyCk1+ovMiPM3fz2Y/0akBHHeR1+onaona8hPhVVyD1Ic/6gk7hSY/ET7Yd5qeH5ufuMifvgBWP1FH1J6fmLqE7ar7iWGn0OQnkhQaU4ufCI+hHlw37X6ijmgF39uW9Zr8RDiOf5hwfEIGn9FPRGyugq4Au451f2eCWdThiIyP3U/UEbWnh383XFPgRqCekMFn9BOze2BbOcJPXMPdlLD7iTqi9vTkaYVKVj09IYPP6Cd2bYaPfNdRjc+YsgyZCQ+ZojMR6SfqiNrTM+Bi3WqBw/EJOYVmP3FwfSHST1z/RTkd6SdqiKL12PxE/vUXAr83oiY/WdYDH4MZ9N/wvVn/FSIYk7wXZCRdUi+yBqSE2/ET5fdG4FGSd2+wihvPT8z0cPtzRTrRfAulG89PXOOygPRLdGrSw7FZPkYdVoDKRnGEqrPtd3RE8n3qvTLeIohWT9bV3d14bSWoM4036co+UUt6YjLdcJdVRHKtnqYdrq4VsBJUv/bOhos+UUt6fvLZ8H0Cm66n/+c74DctlDG00Zl+v4Ib0bM+NlO4Cf6f70OX9PwLXP9JHTLwMvoAAAAASUVORK5CYII=\n",
      "text/latex": [
       "$$\\left ( \\left[\\begin{matrix}4 X_{0, 0} + 6 X_{1, 0} & 4 X_{0, 1} + 6 X_{1, 1}\\\\6 X_{0, 0} + 9 X_{1, 0} & 6 X_{0, 1} + 9 X_{1, 1}\\end{matrix}\\right], \\quad \\left[\\begin{matrix}1 & 1\\\\1 & 1\\end{matrix}\\right]\\right )$$"
      ],
      "text/plain": [
       "⎛⎡4⋅X₀₀ + 6⋅X₁₀  4⋅X₀₁ + 6⋅X₁₁⎤  ⎡1  1⎤⎞\n",
       "⎜⎢                            ⎥, ⎢    ⎥⎟\n",
       "⎝⎣6⋅X₀₀ + 9⋅X₁₀  6⋅X₀₁ + 9⋅X₁₁⎦  ⎣1  1⎦⎠"
      ]
     },
     "execution_count": 170,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 869\n",
    "# A869 * X869 = B869\n",
    "A869 = sympy.Matrix([[4,6],[6,9]])\n",
    "B869 = sympy.Matrix([[1,1],[1,1]])\n",
    "X869 = sympy.MatrixSymbol('X', 2, 2)\n",
    "A869 * X869.as_explicit(),  B869"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 171,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAAoAAAAOBAMAAADkjZCYAAAAMFBMVEX///8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAiXaZIs1UEN1mu6tEMu+iw/3TAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAV0lEQVQIHWNgYBQyYWBgCGOocGDgbGBgXMDAtYGB7TsDvwEDzzeGeiD5k8FfgIH3E5j8yFAvwMDzCSTL9o2BawED53cGzgcMzAEMDG0MdRcYGAqV9jIAAMSUErnbiJtLAAAAAElFTkSuQmCC\n",
      "text/latex": [
       "$$0$$"
      ],
      "text/plain": [
       "0"
      ]
     },
     "execution_count": 171,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "A869.det()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 172,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\n",
       "\\begin{cases}\n",
       "4 * X_{0,0} + 6 * X_{1,0} = 1 \\\\\n",
       "6 * X_{0,0} + 9 * X_{1,0} = 1 \\\\\n",
       "4 * X_{0,1} + 6 * X_{1,1} = 1 \\\\\n",
       "6 * X_{0,1} + 9 * X_{1,1} = 1\n",
       "\\end{cases} \\implies\n",
       "решений \\ нет \\ / \\  no \\ solutions\n",
       "$"
      ],
      "text/plain": [
       "<IPython.core.display.Latex object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%latex\n",
    "$\n",
    "\\begin{cases}\n",
    "4 * X_{0,0} + 6 * X_{1,0} = 1 \\\\\n",
    "6 * X_{0,0} + 9 * X_{1,0} = 1 \\\\\n",
    "4 * X_{0,1} + 6 * X_{1,1} = 1 \\\\\n",
    "6 * X_{0,1} + 9 * X_{1,1} = 1\n",
    "\\end{cases} \\implies\n",
    "решений \\ нет \\ / \\  no \\ solutions\n",
    "$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 173,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left ( \\left[\\begin{matrix}3 X_{0, 0} - X_{1, 0} + 2 X_{2, 0} & 3 X_{0, 1} - X_{1, 1} + 2 X_{2, 1} & 3 X_{0, 2} - X_{1, 2} + 2 X_{2, 2}\\\\4 X_{0, 0} - 3 X_{1, 0} + 3 X_{2, 0} & 4 X_{0, 1} - 3 X_{1, 1} + 3 X_{2, 1} & 4 X_{0, 2} - 3 X_{1, 2} + 3 X_{2, 2}\\\\X_{0, 0} + 3 X_{1, 0} & X_{0, 1} + 3 X_{1, 1} & X_{0, 2} + 3 X_{1, 2}\\end{matrix}\\right], \\quad \\left[\\begin{matrix}3 & 9 & 7\\\\1 & 11 & 7\\\\7 & 5 & 7\\end{matrix}\\right]\\right )$$"
      ],
      "text/plain": [
       "⎛⎡ 3⋅X₀₀ - X₁₀ + 2⋅X₂₀    3⋅X₀₁ - X₁₁ + 2⋅X₂₁    3⋅X₀₂ - X₁₂ + 2⋅X₂₂ ⎤  ⎡3  9 \n",
       "⎜⎢                                                                   ⎥  ⎢     \n",
       "⎜⎢4⋅X₀₀ - 3⋅X₁₀ + 3⋅X₂₀  4⋅X₀₁ - 3⋅X₁₁ + 3⋅X₂₁  4⋅X₀₂ - 3⋅X₁₂ + 3⋅X₂₂⎥, ⎢1  11\n",
       "⎜⎢                                                                   ⎥  ⎢     \n",
       "⎝⎣     X₀₀ + 3⋅X₁₀            X₀₁ + 3⋅X₁₁            X₀₂ + 3⋅X₁₂     ⎦  ⎣7  5 \n",
       "\n",
       "  7⎤⎞\n",
       "   ⎥⎟\n",
       "  7⎥⎟\n",
       "   ⎥⎟\n",
       "  7⎦⎠"
      ]
     },
     "execution_count": 173,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 870\n",
    "# A870 * X870 = B870\n",
    "A870 = sympy.Matrix([[3,-1,2],[4,-3,3],[1,3,0]])\n",
    "B870 = sympy.Matrix([[3,9,7],[1,11,7],[7,5,7]])\n",
    "X870 = sympy.MatrixSymbol('X', 3, 3)\n",
    "A870 * X870.as_explicit(),  B870"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 174,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left[\\begin{matrix}X_{0, 0} & X_{0, 1} & X_{0, 2}\\\\X_{1, 0} & X_{1, 1} & X_{1, 2}\\\\X_{2, 0} & X_{2, 1} & X_{2, 2}\\end{matrix}\\right]$$"
      ],
      "text/plain": [
       "⎡X₀₀  X₀₁  X₀₂⎤\n",
       "⎢             ⎥\n",
       "⎢X₁₀  X₁₁  X₁₂⎥\n",
       "⎢             ⎥\n",
       "⎣X₂₀  X₂₁  X₂₂⎦"
      ]
     },
     "execution_count": 174,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X870.as_explicit()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 175,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAAoAAAAOBAMAAADkjZCYAAAAMFBMVEX///8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAiXaZIs1UEN1mu6tEMu+iw/3TAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAV0lEQVQIHWNgYBQyYWBgCGOocGDgbGBgXMDAtYGB7TsDvwEDzzeGeiD5k8FfgIH3E5j8yFAvwMDzCSTL9o2BawED53cGzgcMzAEMDG0MdRcYGAqV9jIAAMSUErnbiJtLAAAAAElFTkSuQmCC\n",
      "text/latex": [
       "$$0$$"
      ],
      "text/plain": [
       "0"
      ]
     },
     "execution_count": 175,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "A870.det()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 176,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\n",
       "\\begin{cases}\n",
       "3 * X_{0,0} - 1 * X_{1,0}  + 2 * X_{2,0}= 3 \\\\\n",
       "4 * X_{0,0} - 3 * X_{1,0}  + 3 * X_{2,0}= 1 \\\\\n",
       "1 * X_{0,0} + 3 * X_{1,0}  - 0 * X_{2,0}= 7 \\\\\n",
       "3 * X_{0,1} - 1 * X_{1,1}  + 2 * X_{2,1}= 9 \\\\\n",
       "4 * X_{0,1} - 3 * X_{1,1}  + 3 * X_{2,1}= 11 \\\\\n",
       "1 * X_{0,1} + 3 * X_{1,1}  - 0 * X_{2,1}= 5 \\\\\n",
       "3 * X_{0,2} - 1 * X_{1,2}  + 2 * X_{2,2}= 7 \\\\\n",
       "4 * X_{0,2} - 3 * X_{1,2}  + 3 * X_{2,2}= 7\\\\\n",
       "1 * X_{0,2} + 3 * X_{1,2}  - 0 * X_{2,2}= 7 \\\\\n",
       "\\end{cases} \\implies\n",
       " \\begin{pmatrix}\n",
       "7 - 3 * X_{1,0} & 5 - 3 * X_{1,1} & 7 - 3 * X_{1,2} \\\\\n",
       "X_{1,0} & X_{1,1} & X_{1,2} \\\\\n",
       "5 * X_{1,0} - 9 & 5 * X_{1,1} - 3 & 5 * X_{1,2} - 7 \\\\\n",
       " \\end{pmatrix}, \\forall  X_{1,0}, X_{1,1}, X_{1,2}\n",
       "$"
      ],
      "text/plain": [
       "<IPython.core.display.Latex object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%latex\n",
    "$\n",
    "\\begin{cases}\n",
    "3 * X_{0,0} - 1 * X_{1,0}  + 2 * X_{2,0}= 3 \\\\\n",
    "4 * X_{0,0} - 3 * X_{1,0}  + 3 * X_{2,0}= 1 \\\\\n",
    "1 * X_{0,0} + 3 * X_{1,0}  - 0 * X_{2,0}= 7 \\\\\n",
    "3 * X_{0,1} - 1 * X_{1,1}  + 2 * X_{2,1}= 9 \\\\\n",
    "4 * X_{0,1} - 3 * X_{1,1}  + 3 * X_{2,1}= 11 \\\\\n",
    "1 * X_{0,1} + 3 * X_{1,1}  - 0 * X_{2,1}= 5 \\\\\n",
    "3 * X_{0,2} - 1 * X_{1,2}  + 2 * X_{2,2}= 7 \\\\\n",
    "4 * X_{0,2} - 3 * X_{1,2}  + 3 * X_{2,2}= 7\\\\\n",
    "1 * X_{0,2} + 3 * X_{1,2}  - 0 * X_{2,2}= 7 \\\\\n",
    "\\end{cases} \\implies\n",
    " \\begin{pmatrix}\n",
    "7 - 3 * X_{1,0} & 5 - 3 * X_{1,1} & 7 - 3 * X_{1,2} \\\\\n",
    "X_{1,0} & X_{1,1} & X_{1,2} \\\\\n",
    "5 * X_{1,0} - 9 & 5 * X_{1,1} - 3 & 5 * X_{1,2} - 7 \\\\\n",
    " \\end{pmatrix}, \\forall  X_{1,0}, X_{1,1}, X_{1,2}\n",
    "$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Типовой расчет 2 / Standard Calculation 2"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Постановка  задачи / Formulation of the problem:\n",
    "\n",
    "Для данной матрицы А найти обратную $А^{-1}$ и выполнить проверку результата.\n",
    "\n",
    "For a given matrix A, find the inverse $A^{- 1}$ and perform a result check.\n",
    "\n",
    "$\n",
    "A = \n",
    " \\begin{pmatrix}\n",
    "20 & 19 & 9 \\\\\n",
    "31 & 30 & 22 \\\\\n",
    "26 & 25 & 16 \\\\\n",
    " \\end{pmatrix}\n",
    " $"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Решение / Decisions:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 215,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left ( \\left[\\begin{matrix}20 & 19 & 9\\\\31 & 30 & 22\\\\26 & 25 & 16\\end{matrix}\\right], \\quad -1\\right )$$"
      ],
      "text/plain": [
       "⎛⎡20  19  9 ⎤    ⎞\n",
       "⎜⎢          ⎥    ⎟\n",
       "⎜⎢31  30  22⎥, -1⎟\n",
       "⎜⎢          ⎥    ⎟\n",
       "⎝⎣26  25  16⎦    ⎠"
      ]
     },
     "execution_count": 215,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 1) \n",
    "A = sympy.Matrix([[20,19,9],[31,30,22],[26,25,16]])\n",
    "A, A.det()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 216,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left ( \\left[\\begin{matrix}20 & 19 & 9\\\\11 & 11 & 13\\\\6 & 6 & 7\\end{matrix}\\right], \\quad -1\\right )$$"
      ],
      "text/plain": [
       "⎛⎡20  19  9 ⎤    ⎞\n",
       "⎜⎢          ⎥    ⎟\n",
       "⎜⎢11  11  13⎥, -1⎟\n",
       "⎜⎢          ⎥    ⎟\n",
       "⎝⎣6   6   7 ⎦    ⎠"
      ]
     },
     "execution_count": 216,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "A1 = sympy.Matrix([[20,19,9],[11,11,13],[6,6,7]])\n",
    "A1, A1.det()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 217,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left ( \\left[\\begin{matrix}20 & -1 & -11\\\\11 & 0 & 2\\\\6 & 0 & 1\\end{matrix}\\right], \\quad -1\\right )$$"
      ],
      "text/plain": [
       "⎛⎡20  -1  -11⎤    ⎞\n",
       "⎜⎢           ⎥    ⎟\n",
       "⎜⎢11  0    2 ⎥, -1⎟\n",
       "⎜⎢           ⎥    ⎟\n",
       "⎝⎣6   0    1 ⎦    ⎠"
      ]
     },
     "execution_count": 217,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "A1 = sympy.Matrix([[20,-1,-11],[11,0,2],[6,0,1]])\n",
    "A1, A1.det()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 218,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left ( \\left[\\begin{matrix}-2 & -1 & -15\\\\11 & 0 & 2\\\\6 & 0 & 1\\end{matrix}\\right], \\quad -1\\right )$$"
      ],
      "text/plain": [
       "⎛⎡-2  -1  -15⎤    ⎞\n",
       "⎜⎢           ⎥    ⎟\n",
       "⎜⎢11  0    2 ⎥, -1⎟\n",
       "⎜⎢           ⎥    ⎟\n",
       "⎝⎣6   0    1 ⎦    ⎠"
      ]
     },
     "execution_count": 218,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "A1 = sympy.Matrix([[-2,-1,-15],[11,0,2],[6,0,1]])\n",
    "A1, A1.det()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 219,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAJsAAAAzBAMAAAByAGc8AAAAMFBMVEX///8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAq0Rmid0iMu92ELuZVM0av29pAAAACXBIWXMAAA7EAAAOxAGVKw4bAAADMElEQVRIDa2XzWsTQRTAX8xXu9EmIIJfkPwH6UUQPGQPghchaUsvHmw8eM/BnhNBRBBp74oZj0YwBREED8ZbD0E9KHgyvQiiQkGpYtXE97G72Y/sdkx2YGfevPfmt+/tzM7sAlil0+nYYrCNNAbcEyWAtdGfgN5RvBj9duQQ4ZFyDEdRWnZ6E4VzE7UuZfaz3UmYKM2Kg3c27gwJjFtXKHFFKi6Z/pcGCgdGB4cL1oCf1CLOOL2rpBID11cg9Q2Fg3GwIqPSJrUcXVuhxBWpuJwEuIWCBu694gFnuQ7DbSgo1rVwCz0G3YjEHQMo4sPTiO7QDwLN70fi0LiGlwYOvhIoLTMSlixA9pcmbqDQsUnrIHwq8H49NOtE191Ex+N4YQmPrk9mHVyuho7XyTsCl+yRWQeXxLnIfifvCNxbyNT1cAaiUjy94bisCfNKD0eJ5loYGpawZ3e138elp5UsPAWY22Ia405tLG0CV6Kjenc0GmIT/ezWFblCFaDbY0miE3FSHYXjrYMGVUrQpMWChZMVcVIdhXN2DWQN3sjoOHCYaaURHy5fgHY9RtwWVFV8uLkdeB0jLl2DogQ3zcwaH1ep4MO3zoN0axacFQg2Y1zMyVbrchOtdafEN1Bb0eFUtL3rLnX+gs85e4kU/FYY9PZOKjau4FvGmWWg/cNVHrzap568ZKvKZRmL9q6R78GgJGpJFs/K52M3luSkE9wR5TN6u10TmouiEtwg6O/GpbzD/T3cAjBALoL75Pewz2GJ7mHQ7NbgdpLeEYXghtfuldwOKLujszLxeThdfP8TLekxzhguwh3HKoIb5zP5u/iGJXnirO3TGAFsK6/Xf+Bu48H4V0ZLsnu8Q3t4+rgMfX24j224jDjfA9LH0bEN2+7o8GjD88NT9HGJGg4sy3BJtuzgHaQ+Lr+Jg/gDyT7JcqYx/cxWFOKsqZXo4OLLhhMXC4lneydQkGXsNfl7S6xwfcz6HcZ9DZx8zALHOM3mPr4ZS7kCNwsmNVayrJlQaURXVjwue5Oa2XH2HN6PBZeQXAHi+cX7wKlS9QSvlejf47uOc4gw/gGFXGn23+PHiu7zD7F65EKWGEv4AAAAAElFTkSuQmCC\n",
      "text/latex": [
       "$$\\left ( \\left[\\begin{matrix}11 & 2\\\\6 & 1\\end{matrix}\\right], \\quad -1\\right )$$"
      ],
      "text/plain": [
       "⎛⎡11  2⎤    ⎞\n",
       "⎜⎢     ⎥, -1⎟\n",
       "⎝⎣6   1⎦    ⎠"
      ]
     },
     "execution_count": 219,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "A11 = sympy.Matrix([[11,2],[6,1]])\n",
    "A11, - (-1) * A11.det()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 220,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAABgAAAAOBAMAAADH1sFNAAAAIVBMVEX///8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADdcGRXAAAACnRSTlMAEM3dMquZdrvvHSJQDQAAAAlwSFlzAAAOxAAADsQBlSsOGwAAACZJREFUCB1jYIABFkMYi4FBNGkhgsPATg2OkDEImDBQbBpr5+JwAHRPC1OtyQ5cAAAAAElFTkSuQmCC\n",
      "text/latex": [
       "$$-1$$"
      ],
      "text/plain": [
       "-1"
      ]
     },
     "execution_count": 220,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    " - (-1) * (11 * 1 - 6 * 2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 221,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left[\\begin{matrix}-70 & 76 & -5\\\\-79 & 86 & -6\\\\148 & -161 & 11\\end{matrix}\\right]$$"
      ],
      "text/plain": [
       "⎡-70   76   -5⎤\n",
       "⎢             ⎥\n",
       "⎢-79   86   -6⎥\n",
       "⎢             ⎥\n",
       "⎣148  -161  11⎦"
      ]
     },
     "execution_count": 221,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 2)\n",
    "# Матрица алгебраических дополнений / Matrix of algebraic complements\n",
    "A.adjugate().T"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 222,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1 1  -  [[30, 22], [25, 16]]  :  -70\n",
      "1 2  -  [[31, 22], [26, 16]]  :  -76\n",
      "1 3  -  [[31, 30], [26, 25]]  :  -5\n",
      "2 1  -  [[19, 9], [25, 16]]  :  79\n",
      "2 2  -  [[20, 9], [26, 16]]  :  86\n",
      "2 3  -  [[20, 19], [26, 25]]  :  6\n",
      "3 1  -  [[19, 9], [30, 22]]  :  148\n",
      "3 2  -  [[20, 9], [31, 22]]  :  161\n",
      "3 3  -  [[20, 19], [31, 30]]  :  11\n"
     ]
    }
   ],
   "source": [
    "AA = [[20,19,9],[31,30,22],[26,25,16]]\n",
    "for i in range(3):\n",
    "    for j in range(3):\n",
    "        print(i+1, j+1, ' - ', minor(AA,i,j), ' : ', deternminant(minor(AA,i,j)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 223,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left[\\begin{matrix}-70 & -79 & 148\\\\76 & 86 & -161\\\\-5 & -6 & 11\\end{matrix}\\right]$$"
      ],
      "text/plain": [
       "⎡-70  -79  148 ⎤\n",
       "⎢              ⎥\n",
       "⎢76   86   -161⎥\n",
       "⎢              ⎥\n",
       "⎣-5   -6    11 ⎦"
      ]
     },
     "execution_count": 223,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Транспонированная матрица алгебраических дополнений\n",
    "# The transposed matrix of algebraic complements\n",
    "A.adjugate()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 224,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left[\\begin{matrix}70 & 79 & -148\\\\-76 & -86 & 161\\\\5 & 6 & -11\\end{matrix}\\right]$$"
      ],
      "text/plain": [
       "⎡70   79   -148⎤\n",
       "⎢              ⎥\n",
       "⎢-76  -86  161 ⎥\n",
       "⎢              ⎥\n",
       "⎣ 5    6   -11 ⎦"
      ]
     },
     "execution_count": 224,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 3) \n",
    "# A^-1\n",
    "A.adjugate() / A.det()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 225,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left[\\begin{matrix}70 & 79 & -148\\\\-76 & -86 & 161\\\\5 & 6 & -11\\end{matrix}\\right]$$"
      ],
      "text/plain": [
       "⎡70   79   -148⎤\n",
       "⎢              ⎥\n",
       "⎢-76  -86  161 ⎥\n",
       "⎢              ⎥\n",
       "⎣ 5    6   -11 ⎦"
      ]
     },
     "execution_count": 225,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "A.inv()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 226,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left[\\begin{matrix}1 & 0 & 0\\\\0 & 1 & 0\\\\0 & 0 & 1\\end{matrix}\\right]$$"
      ],
      "text/plain": [
       "⎡1  0  0⎤\n",
       "⎢       ⎥\n",
       "⎢0  1  0⎥\n",
       "⎢       ⎥\n",
       "⎣0  0  1⎦"
      ]
     },
     "execution_count": 226,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 4) Проверка /  Checking\n",
    "A * A.inv()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 230,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left[\\begin{matrix}1 & 0 & 0\\\\0 & 1 & 0\\\\0 & 0 & 1\\end{matrix}\\right]$$"
      ],
      "text/plain": [
       "⎡1  0  0⎤\n",
       "⎢       ⎥\n",
       "⎢0  1  0⎥\n",
       "⎢       ⎥\n",
       "⎣0  0  1⎦"
      ]
     },
     "execution_count": 230,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "I = sympy.Identity(3)\n",
    "I.as_explicit()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 231,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 231,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "A * A.inv() == I.as_explicit()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}