Assignment_1_1.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pickle\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "## Code to load the array\n",
    "with open('array.pickle', 'rb') as p:\n",
    "    arr = pickle.load(p)\n",
    "    "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Check that the size of the array (arr) is 1000. Please report if any discrepancy."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Task 1: Resize the array to a (20x50) matrix"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "        3.22049291e+01, 7.26629214e+00, 3.34586391e+01, 1.91251105e+01,\n",
       "        3.62249907e+01, 5.88806306e+01, 5.79840135e+00, 2.99240932e+01,\n",
       "        6.62448926e+01, 4.45045841e+01, 8.87187257e+01, 9.71952340e+01,\n",
       "        8.37751828e+01, 4.88434655e+01],\n",
       "       [3.52261295e+01, 4.93301355e+01, 6.10294454e+00, 8.79272121e+01,\n",
       "        6.81544536e+00, 4.96228721e+01, 7.94367403e+01, 8.56087900e+01,\n",
       "        8.45336207e+01, 9.55612474e+01, 9.40057651e+01, 3.04900465e+01,\n",
       "        4.58838433e+01, 6.21326894e+00, 7.38182647e+01, 4.36308258e+01,\n",
       "        6.93844857e+01, 2.22588215e+01, 9.14643616e+01, 4.23890789e+01,\n",
       "        3.22181353e+01, 4.13233991e+00, 4.04881211e+00, 8.69903722e+01,\n",
       "        3.68864541e+01, 4.01189158e+01, 3.87883239e+01, 3.12036316e+01,\n",
       "        4.91010986e+01, 7.16467999e+01, 4.93906181e+01, 8.35124223e+01,\n",
       "        7.55497503e+01, 5.61070834e+01, 9.24888358e+01, 2.33501350e+01,\n",
       "        6.19549849e+01, 7.59962858e+01, 5.02233408e-01, 5.12179582e+01,\n",
       "        6.12086943e+01, 1.30360173e+01, 9.09156982e+01, 3.32953519e+01,\n",
       "        8.61048113e+01, 7.78518608e+01, 8.93222983e+01, 5.05548542e+01,\n",
       "        2.99443259e+01, 1.69944569e+01],\n",
       "       [5.91031443e+01, 8.22733703e+01, 9.75047672e+01, 1.19276054e+01,\n",
       "        6.70043897e+01, 3.57897304e+01, 5.40830238e+01, 4.56031464e+01,\n",
       "        4.90272721e+01, 4.54614559e+01, 1.07058780e+01, 4.23867144e+01,\n",
       "        5.64078277e+01, 3.84327053e+01, 3.92413880e+01, 3.55439696e+01,\n",
       "        2.82123311e+01, 5.07186257e+01, 2.42630120e+01, 3.10440859e+01,\n",
       "        2.92585106e+01, 5.26350192e+01, 2.45907977e+01, 7.37106933e+01,\n",
       "        5.75535424e+01, 6.99020201e+01, 1.05505331e+00, 9.63225095e+01,\n",
       "        1.33224644e+01, 5.99037646e+01, 4.34508510e+01, 1.04291410e+01,\n",
       "        9.17175273e+01, 1.58671970e+01, 6.39918322e+01, 9.34599065e+01,\n",
       "        8.57165263e+01, 5.54529842e+01, 2.28207460e+01, 8.64194571e+01,\n",
       "        2.60381904e+00, 6.89431658e+01, 4.98257143e+01, 2.78657589e+01,\n",
       "        1.33073525e+01, 7.60610334e+01, 4.42464673e+01, 1.63496225e+01,\n",
       "        1.23094616e+01, 1.23990275e+01],\n",
       "       [1.21550180e+01, 1.74234198e+01, 4.27224772e+01, 7.11291065e+01,\n",
       "        4.74680979e+01, 2.03102035e+01, 2.11275087e+01, 2.96327387e+01,\n",
       "        8.07434740e+01, 8.89460151e+00, 6.53459695e+01, 5.85027315e+01,\n",
       "        4.08202615e+01, 9.67756843e+01, 1.63361330e+01, 9.16745589e+01,\n",
       "        5.73893411e+01, 1.50950009e+00, 4.31911404e+01, 5.67163415e+01,\n",
       "        7.93823913e+01, 7.99895590e+01, 2.43462258e+01, 9.80519578e+01,\n",
       "        2.69714514e+01, 5.58266941e+01, 7.56917395e+01, 1.05674334e+01,\n",
       "        1.87892138e+01, 1.64844088e+01, 7.66848190e+01, 4.40314805e+01,\n",
       "        8.31852687e+01, 8.70199015e+01, 1.50863324e+01, 6.88864015e+01,\n",
       "        5.73683561e+01, 3.94724715e+01, 2.71987262e+01, 2.79900513e+01,\n",
       "        7.55288990e+01, 7.47063815e+01, 6.74349958e+01, 2.46732090e+01,\n",
       "        1.76648598e+00, 7.78140409e+01, 9.65151406e+01, 6.31688028e+01,\n",
       "        5.62022672e+01, 3.42800355e+01],\n",
       "       [8.81098046e+01, 1.15227103e+01, 7.45295249e+01, 3.97021393e+01,\n",
       "        6.80181334e+01, 4.75434582e+01, 5.20000809e+01, 2.36811777e+01,\n",
       "        2.51435697e+01, 4.77764698e+01, 3.56106597e+01, 1.14444501e+01,\n",
       "        8.93422043e+01, 3.67844067e+01, 7.24972135e+01, 1.45836161e+01,\n",
       "        8.80148333e+01, 5.67192592e+01, 8.02665920e+01, 6.11691804e+00,\n",
       "        2.48931847e+01, 7.28317103e+01, 4.73712049e+01, 3.48436157e+01,\n",
       "        2.90101347e+01, 6.47085064e+01, 1.03433257e+01, 8.06891927e+01,\n",
       "        4.69053926e+01, 3.54487485e+01, 7.53323437e+01, 6.10795657e+01,\n",
       "        7.32402187e+01, 6.49732888e+01, 9.34792605e+01, 6.05466965e+01,\n",
       "        8.01849068e+01, 4.48960815e+01, 6.80113541e+01, 2.90421753e+01,\n",
       "        7.74651772e+01, 2.28724333e+01, 3.81200954e+01, 1.65256280e+01,\n",
       "        9.38088621e+01, 8.71500959e+01, 5.36757009e+01, 9.96121822e+01,\n",
       "        7.57435221e+01, 5.60440612e+01],\n",
       "       [9.91893868e+01, 6.93302630e-02, 9.84972492e+01, 6.48436755e+01,\n",
       "        9.06600867e+01, 9.90503803e+01, 8.34980634e+01, 5.32868530e+01,\n",
       "        2.70716908e+01, 5.11967143e+01, 8.20862099e+01, 1.87940372e+01,\n",
       "        6.46819907e+01, 6.59524860e+01, 5.61188303e+01, 5.26457724e+00,\n",
       "        3.36428260e+01, 1.87084545e+01, 5.64421170e+01, 3.52858170e+01,\n",
       "        7.24379388e+01, 4.02819572e+01, 8.21580631e+01, 7.79670716e+01,\n",
       "        5.96416159e+01, 1.32079735e+01, 4.51048531e+01, 7.97061451e+01,\n",
       "        8.68186238e+01, 2.65967630e+01, 2.74802923e+01, 4.36252745e+01,\n",
       "        8.74986602e+00, 7.35332087e+01, 5.25023910e+01, 1.34690014e+01,\n",
       "        2.67366085e+01, 2.67252052e+01, 9.80901772e+01, 4.09452158e+01,\n",
       "        6.71822711e+01, 6.58279671e+01, 6.72067700e+01, 2.03038744e+01,\n",
       "        4.56827026e+01, 2.36458375e+01, 1.48922870e+01, 9.93826012e+01,\n",
       "        2.20436768e+01, 4.44780392e+01],\n",
       "       [6.63677472e+01, 8.77094315e+01, 5.49465129e+01, 9.81402371e+01,\n",
       "        7.94045936e+01, 9.43147992e+01, 1.30230805e+01, 4.44246898e+01,\n",
       "        1.14172394e+01, 8.93738132e+01, 2.49471393e+01, 9.42623599e+00,\n",
       "        7.64076453e+01, 8.85445634e+01, 2.03937828e+01, 8.34343271e+01,\n",
       "        8.50538294e+01, 9.07284330e+01, 7.36602311e+01, 8.30561391e+01,\n",
       "        7.48382162e+01, 7.47306534e+01, 8.07618503e+00, 3.71746354e+01,\n",
       "        9.44084139e+01, 2.05536235e+01, 7.33563952e+01, 5.94229379e+01,\n",
       "        4.58926869e+01, 1.37931104e+01, 3.63870110e+01, 5.29711645e+01,\n",
       "        2.03532176e+01, 1.93772131e+01, 7.42449242e+01, 4.07743760e+01,\n",
       "        9.11182434e+01, 3.04993157e+01, 7.45526944e+00, 2.65960304e+01,\n",
       "        1.03676056e+01, 1.56310309e+01, 3.75489072e+01, 6.90157410e+01,\n",
       "        1.04923118e+01, 5.56609404e+01, 8.99196172e+01, 4.77126384e+01,\n",
       "        4.88871239e+01, 3.47082854e+01]])"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "## BEGIN CODE\n",
    "\n",
    "a=np.resize(arr,(20,50))\n",
    "a\n",
    "\n",
    "\n",
    "\n",
    "## END CODE"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Task 2: Find the transpose of this matrix"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1.53725789e+01, 8.85893454e+01, 2.79538231e+00, 3.50908490e+01,\n",
       "        8.13734157e+01, 2.98111025e+00, 3.06105570e+01, 2.46762031e+01,\n",
       "        7.13226402e+00, 4.36998894e+01, 5.32027734e+01, 7.85991422e+01,\n",
       "        6.93028591e+01, 7.60843419e+00, 3.52261295e+01, 5.91031443e+01,\n",
       "        1.21550180e+01, 8.81098046e+01, 9.91893868e+01, 6.63677472e+01],\n",
       "       [5.73068830e+01, 2.64178537e+01, 7.56172871e+01, 3.61285123e+01,\n",
       "        8.14788418e+01, 2.84959605e+01, 9.13570944e+01, 8.05941652e+01,\n",
       "        5.55331014e+01, 2.80522135e+01, 8.86534621e+01, 6.64995393e+01,\n",
       "        2.47804763e+01, 5.83531187e+01, 4.93301355e+01, 8.22733703e+01,\n",
       "        1.74234198e+01, 1.15227103e+01, 6.93302630e-02, 8.77094315e+01],\n",
       "       [5.61011700e+01, 3.31570155e+01, 4.09169304e+01, 3.17348588e+01,\n",
       "        5.90997317e+01, 6.22950678e+01, 2.20808491e+01, 1.04420330e+01,\n",
       "        1.15857224e+00, 9.06468173e-01, 7.01084933e+01, 2.23376075e+01,\n",
       "        9.21788852e+01, 3.60195634e+01, 6.10294454e+00, 9.75047672e+01,\n",
       "        4.27224772e+01, 7.45295249e+01, 9.84972492e+01, 5.49465129e+01],\n",
       "       [9.61243794e+01, 5.72144765e+01, 9.38061407e+01, 2.37265602e+01,\n",
       "        8.00018648e+01, 5.60653154e+01, 8.61370723e+01, 8.48846499e+01,\n",
       "        8.34825878e+01, 4.32810034e+01, 5.21058482e+01, 6.24961851e+01,\n",
       "        8.21788768e+01, 3.70565688e+01, 8.79272121e+01, 1.19276054e+01,\n",
       "        7.11291065e+01, 3.97021393e+01, 6.48436755e+01, 9.81402371e+01],\n",
       "       [8.80063242e+01, 6.77169093e+01, 9.04257595e+01, 7.37383943e+01,\n",
       "        9.25936966e+01, 1.60451004e+01, 8.71704454e+01, 2.80788017e+01,\n",
       "        2.44719969e+01, 1.70033988e+01, 5.73208925e+01, 4.72027867e+01,\n",
       "        7.42946534e+01, 5.48187734e+00, 6.81544536e+00, 6.70043897e+01,\n",
       "        4.74680979e+01, 6.80181334e+01, 9.06600867e+01, 7.94045936e+01],\n",
       "       [4.62542985e+01, 2.83145399e+01, 9.53321324e+01, 7.32581403e+01,\n",
       "        4.59121735e+01, 5.08901511e+01, 3.02214718e+01, 5.12260822e+01,\n",
       "        2.34739685e+01, 3.67522197e+01, 3.69073826e+01, 5.32528913e+00,\n",
       "        3.86244693e+01, 9.18077046e+00, 4.96228721e+01, 3.57897304e+01,\n",
       "        2.03102035e+01, 4.75434582e+01, 9.90503803e+01, 9.43147992e+01],\n",
       "       [7.75316736e+01, 2.15136356e+01, 7.03258197e+01, 9.76105091e+01,\n",
       "        3.92619989e+00, 3.11425639e+01, 8.91312693e+01, 1.17202728e+01,\n",
       "        1.13927217e+01, 1.76636475e+00, 1.81841363e+01, 2.30793583e+01,\n",
       "        4.35411644e+00, 5.26204753e+01, 7.94367403e+01, 5.40830238e+01,\n",
       "        2.11275087e+01, 5.20000809e+01, 8.34980634e+01, 1.30230805e+01],\n",
       "       [8.33290199e+01, 4.14919522e+01, 5.74569906e+01, 7.82592159e+01,\n",
       "        1.98899708e+01, 1.54088384e+01, 8.15388868e+00, 8.12982920e+01,\n",
       "        2.62960459e+00, 6.95034533e+01, 8.54843620e+01, 8.39623008e+01,\n",
       "        6.20512794e+01, 9.66666274e+01, 8.56087900e+01, 4.56031464e+01,\n",
       "        2.96327387e+01, 2.36811777e+01, 5.32868530e+01, 4.44246898e+01],\n",
       "       [7.69185569e+01, 9.94767596e+01, 6.88075559e+01, 5.31239764e+01,\n",
       "        3.79816908e+01, 2.48026144e+01, 8.02524245e+01, 2.93731743e+00,\n",
       "        7.34671455e+01, 2.92770706e+01, 9.62165483e+01, 4.61524703e+01,\n",
       "        4.29915926e+01, 9.08831465e+01, 8.45336207e+01, 4.90272721e+01,\n",
       "        8.07434740e+01, 2.51435697e+01, 2.70716908e+01, 1.14172394e+01],\n",
       "       [4.77114105e+01, 3.76542075e+01, 8.53342672e+01, 5.26481672e+01,\n",
       "        6.82469068e+01, 5.65366592e+01, 6.63639323e+01, 6.78716466e+01,\n",
       "        5.70943339e+01, 1.71464382e+01, 5.92959660e+01, 9.61689568e+01,\n",
       "        7.75874144e+01, 4.83918218e+01, 9.55612474e+01, 4.54614559e+01,\n",
       "        8.89460151e+00, 4.77764698e+01, 5.11967143e+01, 8.93738132e+01],\n",
       "       [5.34745913e+01, 6.79371789e+01, 3.57029486e+01, 7.96059497e+01,\n",
       "        5.52913299e+01, 8.57067366e+00, 2.59467720e+01, 4.33941071e+01,\n",
       "        6.29192514e+01, 9.52594288e+01, 7.50466888e+01, 5.27290257e+01,\n",
       "        1.80722786e+01, 6.20725444e+01, 9.40057651e+01, 1.07058780e+01,\n",
       "        6.53459695e+01, 3.56106597e+01, 8.20862099e+01, 2.49471393e+01],\n",
       "       [2.73377482e+01, 6.54127749e+00, 9.96560788e+01, 8.05476700e+01,\n",
       "        4.59014129e+01, 3.67228735e+01, 3.77409686e+01, 4.58022961e+01,\n",
       "        1.30007632e+00, 7.07917248e+01, 3.87176543e+01, 2.73779951e+00,\n",
       "        2.14107389e+01, 9.22747682e+01, 3.04900465e+01, 4.23867144e+01,\n",
       "        5.85027315e+01, 1.14444501e+01, 1.87940372e+01, 9.42623599e+00],\n",
       "       [9.22106818e+00, 9.00666440e+01, 8.12848176e+01, 4.16761924e+01,\n",
       "        3.92556355e+00, 6.46535529e+01, 8.22958397e+01, 5.90967731e+01,\n",
       "        3.99694647e+01, 4.80557295e+01, 9.49391816e+01, 9.67322911e+01,\n",
       "        7.86385878e+01, 4.51800558e+01, 4.58838433e+01, 5.64078277e+01,\n",
       "        4.08202615e+01, 8.93422043e+01, 6.46819907e+01, 7.64076453e+01],\n",
       "       [1.21061938e+01, 8.04004205e+01, 8.53494913e+01, 3.73867296e+01,\n",
       "        3.56356790e+01, 7.87546547e+00, 2.29546914e+01, 1.37337148e+01,\n",
       "        2.05221637e+01, 8.74332268e+01, 6.42240063e+01, 8.31935391e+00,\n",
       "        8.42532207e+01, 2.10644588e+01, 6.21326894e+00, 3.84327053e+01,\n",
       "        9.67756843e+01, 3.67844067e+01, 6.59524860e+01, 8.85445634e+01],\n",
       "       [6.13161255e+01, 8.21141128e+01, 8.98878293e+01, 4.84763374e+01,\n",
       "        2.20057019e+01, 1.69738005e+01, 8.47233547e+01, 4.83775535e+01,\n",
       "        9.47521148e+01, 2.59419344e+01, 7.60042413e+01, 8.54582085e+01,\n",
       "        6.71374320e+01, 8.71450814e+01, 7.38182647e+01, 3.92413880e+01,\n",
       "        1.63361330e+01, 7.24972135e+01, 5.61188303e+01, 2.03937828e+01],\n",
       "       [1.81663623e+01, 9.76992330e+01, 4.19447825e+01, 4.42761565e+01,\n",
       "        5.57878891e+01, 7.74647116e+01, 7.03964121e+01, 8.25754303e+01,\n",
       "        2.58096437e-01, 6.19129574e+01, 5.45779912e+01, 5.55507452e+01,\n",
       "        2.09677522e+01, 3.31680088e+01, 4.36308258e+01, 3.55439696e+01,\n",
       "        9.16745589e+01, 1.45836161e+01, 5.26457724e+00, 8.34343271e+01],\n",
       "       [9.73842640e+01, 8.45691851e+01, 9.63450749e+01, 3.13505503e+01,\n",
       "        5.19548795e+00, 3.36342212e+01, 8.85723786e+01, 4.25078958e+01,\n",
       "        4.41650751e+01, 9.08694042e+01, 1.03651323e+01, 5.97505367e+01,\n",
       "        6.24674583e+01, 4.95717947e+01, 6.93844857e+01, 2.82123311e+01,\n",
       "        5.73893411e+01, 8.80148333e+01, 3.36428260e+01, 8.50538294e+01],\n",
       "       [2.33789835e+01, 5.29280684e+01, 3.36907963e+01, 8.10896441e+00,\n",
       "        7.70626269e+01, 5.16522850e+01, 4.37044046e+01, 9.50065344e+01,\n",
       "        3.92075166e+01, 8.95247880e+01, 7.32556507e+01, 7.66304199e+01,\n",
       "        5.04011458e+01, 5.93715103e+01, 2.22588215e+01, 5.07186257e+01,\n",
       "        1.50950009e+00, 5.67192592e+01, 1.87084545e+01, 9.07284330e+01],\n",
       "       [9.53934140e+01, 9.74424205e+01, 3.44045798e+01, 8.20784932e+01,\n",
       "        5.11270950e+01, 9.91103334e+01, 9.77036982e+01, 2.86290566e+01,\n",
       "        2.85358965e+01, 2.06021723e+01, 5.75070432e+01, 9.35662586e+01,\n",
       "        1.40921364e+01, 3.09702621e+01, 9.14643616e+01, 2.42630120e+01,\n",
       "        4.31911404e+01, 8.02665920e+01, 5.64421170e+01, 7.36602311e+01],\n",
       "       [7.66998184e+01, 3.58589392e+01, 7.78636419e+01, 1.34788179e+01,\n",
       "        4.73324222e+01, 1.25981289e+01, 3.97592305e+01, 1.20900415e+01,\n",
       "        8.99194851e+01, 2.65866504e+01, 5.40686826e+01, 7.14042639e+01,\n",
       "        7.66368936e+01, 8.82587755e+01, 4.23890789e+01, 3.10440859e+01,\n",
       "        5.67163415e+01, 6.11691804e+00, 3.52858170e+01, 8.30561391e+01],\n",
       "       [1.07310147e+01, 3.79853012e+01, 1.01945996e+01, 8.89385298e+01,\n",
       "        8.43874265e+01, 8.53783163e+01, 9.64014705e+00, 5.62255100e+01,\n",
       "        8.63736305e+01, 2.80744932e+01, 5.43890304e+01, 9.98432853e+01,\n",
       "        5.61268792e+01, 4.71203757e+01, 3.22181353e+01, 2.92585106e+01,\n",
       "        7.93823913e+01, 2.48931847e+01, 7.24379388e+01, 7.48382162e+01],\n",
       "       [4.71226133e+01, 5.43759791e+01, 8.16127424e+01, 9.62516797e+01,\n",
       "        8.44023726e+01, 2.34799217e+01, 6.70898948e+01, 3.85858268e+01,\n",
       "        1.41366416e+01, 2.57973616e+01, 6.64881362e+01, 5.50568080e+01,\n",
       "        2.89768261e+01, 5.67524477e-04, 4.13233991e+00, 5.26350192e+01,\n",
       "        7.99895590e+01, 7.28317103e+01, 4.02819572e+01, 7.47306534e+01],\n",
       "       [1.66256417e+01, 9.86883641e+01, 2.29611400e+01, 1.19846679e+01,\n",
       "        8.18016960e+01, 9.30839611e+01, 7.97574768e+00, 3.19246460e+01,\n",
       "        8.39606688e+01, 9.19334183e+01, 2.00205261e+01, 2.35655451e+01,\n",
       "        5.24935674e+01, 8.29874614e+01, 4.04881211e+00, 2.45907977e+01,\n",
       "        2.43462258e+01, 4.73712049e+01, 8.21580631e+01, 8.07618503e+00],\n",
       "       [1.68225020e+01, 1.71908611e+01, 6.57147700e+01, 3.29349201e+01,\n",
       "        3.56087424e+01, 7.58476139e+00, 8.27859617e+00, 9.79830288e+01,\n",
       "        2.83728569e+01, 9.19430064e+01, 8.26933218e+01, 5.52592247e+01,\n",
       "        6.60762297e+01, 3.05839833e+01, 8.69903722e+01, 7.37106933e+01,\n",
       "        9.80519578e+01, 3.48436157e+01, 7.79670716e+01, 3.71746354e+01],\n",
       "       [1.31450065e+01, 1.85516457e+01, 5.39085448e-01, 5.66497851e+01,\n",
       "        7.78978546e+01, 7.80516134e+01, 5.30620456e+01, 8.28474499e+01,\n",
       "        6.32645660e+01, 9.74973997e+01, 2.37993169e+01, 4.49127052e+01,\n",
       "        7.00718302e+01, 6.65516799e+01, 3.68864541e+01, 5.75535424e+01,\n",
       "        2.69714514e+01, 2.90101347e+01, 5.96416159e+01, 9.44084139e+01],\n",
       "       [3.98472441e+01, 6.97224385e+01, 7.08895641e+01, 9.67259408e+01,\n",
       "        5.05900951e+00, 1.22066772e+01, 2.42413596e+01, 6.04659533e+01,\n",
       "        3.75795716e+01, 1.05871948e+01, 5.13911166e+01, 4.44691741e+01,\n",
       "        2.24614728e+01, 2.62341964e+01, 4.01189158e+01, 6.99020201e+01,\n",
       "        5.58266941e+01, 6.47085064e+01, 1.32079735e+01, 2.05536235e+01],\n",
       "       [3.78902156e+01, 4.71168063e+01, 2.32119490e+01, 3.53462917e+01,\n",
       "        2.69684870e+01, 1.56232125e+01, 9.11974516e+01, 2.75037210e+01,\n",
       "        2.87203761e+01, 7.52309508e+01, 8.69733995e+01, 7.44030811e+01,\n",
       "        5.09347697e+01, 7.67610749e+01, 3.87883239e+01, 1.05505331e+00,\n",
       "        7.56917395e+01, 1.03433257e+01, 4.51048531e+01, 7.33563952e+01],\n",
       "       [3.42263779e+01, 9.99447921e+01, 4.34991572e+01, 3.58123582e+01,\n",
       "        6.89654311e+01, 3.55721373e+01, 1.43057203e+01, 3.43564811e+01,\n",
       "        1.45830207e+01, 3.77260934e+01, 5.94877823e+01, 1.65347559e+00,\n",
       "        3.46234777e+01, 4.55019498e+00, 3.12036316e+01, 9.63225095e+01,\n",
       "        1.05674334e+01, 8.06891927e+01, 7.97061451e+01, 5.94229379e+01],\n",
       "       [1.56527380e+01, 6.44255919e+01, 8.24359946e+01, 6.98923280e+01,\n",
       "        5.13075108e+01, 5.39434418e+01, 6.33639673e+01, 9.97978264e+01,\n",
       "        9.92276543e+01, 1.46018548e+01, 9.59183279e+01, 9.26020499e+01,\n",
       "        6.46667019e+01, 1.01594676e+00, 4.91010986e+01, 1.33224644e+01,\n",
       "        1.87892138e+01, 4.69053926e+01, 8.68186238e+01, 4.58926869e+01],\n",
       "       [2.08628772e+01, 5.10716863e+01, 8.74867391e+01, 4.14298728e+01,\n",
       "        7.51456616e+01, 4.40597775e+01, 5.84484970e+00, 8.57386159e+01,\n",
       "        4.66801010e+01, 2.59354873e+01, 8.61829219e+01, 1.22389793e+01,\n",
       "        9.76657860e+01, 2.27044613e+01, 7.16467999e+01, 5.99037646e+01,\n",
       "        1.64844088e+01, 3.54487485e+01, 2.65967630e+01, 1.37931104e+01],\n",
       "       [4.07045332e+01, 6.20648542e+01, 8.28307220e+01, 4.58308364e+01,\n",
       "        2.88423485e+01, 9.74153677e+01, 6.06846316e+01, 2.93658836e+00,\n",
       "        7.00660523e+01, 8.91934599e+01, 4.47429260e+01, 6.95729938e+01,\n",
       "        5.36236914e+01, 1.21092540e+01, 4.93906181e+01, 4.34508510e+01,\n",
       "        7.66848190e+01, 7.53323437e+01, 2.74802923e+01, 3.63870110e+01],\n",
       "       [1.09463141e+01, 3.49667411e+01, 1.07107605e+01, 8.21466430e+01,\n",
       "        8.20524124e+01, 4.32070064e+01, 2.86297871e+01, 6.21408075e+01,\n",
       "        9.24705386e+01, 6.85001725e+01, 6.89800007e+00, 9.50592096e+01,\n",
       "        1.12467961e+01, 2.96739451e+01, 8.35124223e+01, 1.04291410e+01,\n",
       "        4.40314805e+01, 6.10795657e+01, 4.36252745e+01, 5.29711645e+01],\n",
       "       [6.40602052e+01, 7.09696639e+01, 1.27273426e+00, 7.92202392e+01,\n",
       "        3.54220197e+01, 1.74836018e+01, 8.85356419e+01, 6.06002671e+01,\n",
       "        2.95061859e+01, 4.70927056e+01, 9.86007408e+01, 5.97153751e+01,\n",
       "        5.69760650e+01, 8.97426777e+00, 7.55497503e+01, 9.17175273e+01,\n",
       "        8.31852687e+01, 7.32402187e+01, 8.74986602e+00, 2.03532176e+01],\n",
       "       [4.54751147e+01, 8.08872840e+01, 7.39887729e+01, 4.10049176e+01,\n",
       "        6.07951968e+01, 3.55222558e+01, 4.05518802e+01, 5.34999077e+01,\n",
       "        7.88456728e+01, 3.36886651e+00, 8.97805665e+01, 7.08373582e+00,\n",
       "        8.93397045e+01, 9.26379508e+00, 5.61070834e+01, 1.58671970e+01,\n",
       "        8.70199015e+01, 6.49732888e+01, 7.35332087e+01, 1.93772131e+01],\n",
       "       [5.79274773e+01, 5.38667110e+01, 8.84307862e+01, 6.67617000e+01,\n",
       "        4.75452659e+01, 9.61432622e+01, 2.15058685e+01, 2.92332502e+01,\n",
       "        5.49768574e+01, 5.05569008e+01, 3.77208476e+01, 3.70433720e+01,\n",
       "        3.73319115e+00, 1.63547643e+01, 9.24888358e+01, 6.39918322e+01,\n",
       "        1.50863324e+01, 9.34792605e+01, 5.25023910e+01, 7.42449242e+01],\n",
       "       [3.83884416e+01, 4.63409006e+01, 1.75244569e+01, 1.36554944e+01,\n",
       "        8.13900762e+01, 5.59379667e+00, 2.86045690e+00, 1.26233820e+00,\n",
       "        5.87171094e+01, 8.01530024e+01, 5.58573734e+01, 4.77224406e+01,\n",
       "        3.75626272e+01, 8.87960482e+00, 2.33501350e+01, 9.34599065e+01,\n",
       "        6.88864015e+01, 6.05466965e+01, 1.34690014e+01, 4.07743760e+01],\n",
       "       [7.76348596e+01, 9.46626814e+01, 4.58928764e+01, 2.90763355e+01,\n",
       "        6.06437742e+01, 5.53700034e+01, 2.51120312e+01, 2.83567988e+01,\n",
       "        3.81423128e+01, 1.34410296e+01, 8.36450208e+01, 4.44008290e+00,\n",
       "        9.41901914e+00, 3.22049291e+01, 6.19549849e+01, 8.57165263e+01,\n",
       "        5.73683561e+01, 8.01849068e+01, 2.67366085e+01, 9.11182434e+01],\n",
       "       [6.40614786e+01, 3.34272505e+01, 7.78972319e+00, 1.10976950e+01,\n",
       "        5.57297068e+01, 9.70590501e+01, 1.99140443e+01, 5.13590238e+01,\n",
       "        8.45009917e+01, 2.34765791e+01, 4.53732805e+01, 7.99248541e+01,\n",
       "        9.95205015e+01, 7.26629214e+00, 7.59962858e+01, 5.54529842e+01,\n",
       "        3.94724715e+01, 4.48960815e+01, 2.67252052e+01, 3.04993157e+01],\n",
       "       [6.09322132e+00, 4.35127568e+01, 8.07031532e+01, 7.78646641e+01,\n",
       "        5.44490907e+01, 6.42292768e+01, 4.82671656e+00, 2.46460537e+01,\n",
       "        9.54138769e+01, 9.56564533e+01, 2.53369637e+01, 1.69267829e+01,\n",
       "        7.85897165e+01, 3.34586391e+01, 5.02233408e-01, 2.28207460e+01,\n",
       "        2.71987262e+01, 6.80113541e+01, 9.80901772e+01, 7.45526944e+00],\n",
       "       [8.99064330e+01, 1.99312446e+01, 2.85957451e+00, 4.85021325e+01,\n",
       "        3.95444290e+01, 5.21962721e+01, 3.47963010e+01, 9.02267912e+01,\n",
       "        6.61479815e+01, 7.12609936e+01, 7.19766848e+01, 1.84960806e+01,\n",
       "        2.12273140e-01, 1.91251105e+01, 5.12179582e+01, 8.64194571e+01,\n",
       "        2.79900513e+01, 2.90421753e+01, 4.09452158e+01, 2.65960304e+01],\n",
       "       [3.24397797e+00, 9.99592336e+01, 9.74687322e+00, 1.99188805e+01,\n",
       "        3.84858483e+01, 6.54033481e+01, 3.14169673e+01, 3.76544544e+01,\n",
       "        8.68533263e+00, 4.26511281e-01, 5.71561606e+01, 7.22376250e+01,\n",
       "        2.04961080e+01, 3.62249907e+01, 6.12086943e+01, 2.60381904e+00,\n",
       "        7.55288990e+01, 7.74651772e+01, 6.71822711e+01, 1.03676056e+01],\n",
       "       [8.32546156e+01, 1.02684068e+01, 4.53808225e+01, 9.64741748e+00,\n",
       "        7.03081008e+01, 3.40251537e+01, 2.06762721e+01, 1.73133574e+01,\n",
       "        9.37916237e+01, 1.34771318e+00, 2.62235553e+01, 6.77736006e+01,\n",
       "        6.72693544e+01, 5.88806306e+01, 1.30360173e+01, 6.89431658e+01,\n",
       "        7.47063815e+01, 2.28724333e+01, 6.58279671e+01, 1.56310309e+01],\n",
       "       [4.61723916e+00, 3.71962168e+01, 1.49965275e+01, 4.72463865e+01,\n",
       "        4.19705883e+01, 8.26209634e+01, 7.22526099e+01, 2.61750739e+01,\n",
       "        1.38966134e+01, 2.04397114e+01, 4.12519631e+01, 6.12263428e+01,\n",
       "        8.59327341e+01, 5.79840135e+00, 9.09156982e+01, 4.98257143e+01,\n",
       "        6.74349958e+01, 3.81200954e+01, 6.72067700e+01, 3.75489072e+01],\n",
       "       [3.95815322e+01, 9.81467816e+01, 1.44066813e+01, 2.68709425e+01,\n",
       "        9.39774241e+01, 4.52342890e+01, 7.17153047e+01, 5.68278588e+01,\n",
       "        9.76932142e+01, 8.96901405e+01, 3.04208885e+01, 9.04671386e+01,\n",
       "        3.63326972e+01, 2.99240932e+01, 3.32953519e+01, 2.78657589e+01,\n",
       "        2.46732090e+01, 1.65256280e+01, 2.03038744e+01, 6.90157410e+01],\n",
       "       [8.36478877e+01, 8.91464861e+01, 8.10986894e+01, 8.52452874e+01,\n",
       "        4.30592527e+00, 1.46133004e+01, 7.34246590e+01, 6.91491845e+01,\n",
       "        2.89782561e+00, 5.88731766e+01, 2.54397965e+01, 2.98998450e+01,\n",
       "        8.86344872e+01, 6.62448926e+01, 8.61048113e+01, 1.33073525e+01,\n",
       "        1.76648598e+00, 9.38088621e+01, 4.56827026e+01, 1.04923118e+01],\n",
       "       [7.83755760e+01, 5.30869403e+01, 5.36000127e+01, 1.70018400e+01,\n",
       "        2.98902152e+01, 5.74812322e+01, 2.33521085e+01, 3.95293092e+01,\n",
       "        2.97837886e+01, 7.35581070e+01, 4.92818169e+01, 6.44631105e+01,\n",
       "        6.59439826e+01, 4.45045841e+01, 7.78518608e+01, 7.60610334e+01,\n",
       "        7.78140409e+01, 8.71500959e+01, 2.36458375e+01, 5.56609404e+01],\n",
       "       [3.27949714e+01, 7.91552351e+01, 2.74284479e+01, 6.76062672e+01,\n",
       "        4.09808930e+01, 5.59472539e+01, 6.54707630e+01, 6.84464114e+01,\n",
       "        7.95216212e+01, 2.35726533e+01, 2.13999844e+01, 2.84798517e+01,\n",
       "        1.88997949e+01, 8.87187257e+01, 8.93222983e+01, 4.42464673e+01,\n",
       "        9.65151406e+01, 5.36757009e+01, 1.48922870e+01, 8.99196172e+01],\n",
       "       [6.72182919e+01, 8.74072680e+01, 6.05752603e+01, 1.56897779e+01,\n",
       "        7.48322829e+01, 6.92930018e+00, 6.34412090e+01, 6.20386330e+01,\n",
       "        1.37892204e+01, 3.15315500e+01, 8.01983218e+01, 8.49881796e+01,\n",
       "        6.85138101e+01, 9.71952340e+01, 5.05548542e+01, 1.63496225e+01,\n",
       "        6.31688028e+01, 9.96121822e+01, 9.93826012e+01, 4.77126384e+01],\n",
       "       [1.12170433e+01, 6.73119647e+01, 6.26552154e+01, 7.81658195e+01,\n",
       "        3.08872885e+01, 4.26211476e+01, 3.73251188e+01, 9.40195444e+01,\n",
       "        8.32718528e+01, 1.73635123e+01, 6.72040394e+01, 2.17171989e+01,\n",
       "        2.50728725e+01, 8.37751828e+01, 2.99443259e+01, 1.23094616e+01,\n",
       "        5.62022672e+01, 7.57435221e+01, 2.20436768e+01, 4.88871239e+01],\n",
       "       [2.46297923e+01, 2.33679954e+01, 9.36208427e+01, 9.02096894e+00,\n",
       "        8.88612931e+01, 2.06221279e+01, 8.58777599e+00, 4.26970331e+01,\n",
       "        5.29001492e+01, 5.10506617e+01, 4.42419458e+01, 7.59899261e+01,\n",
       "        9.15386459e+01, 4.88434655e+01, 1.69944569e+01, 1.23990275e+01,\n",
       "        3.42800355e+01, 5.60440612e+01, 4.44780392e+01, 3.47082854e+01]])"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "## BEGIN CODE\n",
    "A = np.transpose(a)\n",
    "A\n",
    "\n",
    "## END CODE"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Task 3: Find the dot product of the matrices created in Tasks 1 & 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[146849.01683828, 135460.4747245 , 134488.05934036,\n",
       "        112663.14213183, 113669.24514769,  93710.51654169,\n",
       "        121476.40392393, 106115.98487967, 108474.45459776,\n",
       "         97971.07721241, 131859.42941356, 122967.8407579 ,\n",
       "        117736.0507943 , 102494.76239164, 133562.66968841,\n",
       "        111942.51630097, 111761.63810227, 126892.30150792,\n",
       "        114064.23128039, 121282.46252407],\n",
       "       [135460.4747245 , 211602.24444005, 157652.98313366,\n",
       "        142281.63422162, 150489.85768771, 129373.2375846 ,\n",
       "        147733.00373515, 140074.92838042, 138165.0514419 ,\n",
       "        134275.8882438 , 173211.67578061, 157984.46631436,\n",
       "        150096.59871898, 123071.40401045, 156416.66757068,\n",
       "        126286.74620133, 148156.06078107, 174288.73215696,\n",
       "        150709.65242627, 154781.09202476],\n",
       "       [134488.05934036, 157652.98313366, 198261.10301209,\n",
       "        140094.22623001, 133061.48124711, 109767.24679661,\n",
       "        133095.94676457, 132789.7968447 , 128809.76423868,\n",
       "        120322.54551324, 157890.16203522, 135875.28017375,\n",
       "        151902.79512042, 118906.92981258, 141674.91504509,\n",
       "        117700.9459328 , 129696.3457347 , 150969.6939897 ,\n",
       "        143151.62043831, 143072.59636798],\n",
       "       [112663.14213183, 142281.63422162, 140094.22623001,\n",
       "        157336.771407  , 119050.45793494, 106747.33747168,\n",
       "        122138.86973101, 124990.06990125, 113267.77974114,\n",
       "        108742.96466343, 137389.62826407, 125934.40013047,\n",
       "        114562.32448867, 101573.87844261, 136071.33122668,\n",
       "        108338.9826602 , 119275.64152925, 134486.37781964,\n",
       "        128787.04387052, 123477.46253439],\n",
       "       [113669.24514769, 150489.85768771, 133061.48124711,\n",
       "        119050.45793494, 170044.62164306, 118014.46608695,\n",
       "        113323.0335134 , 129647.35611466, 136162.35352898,\n",
       "        121529.39177189, 147662.76226718, 144382.14632804,\n",
       "        140090.26138795, 102694.01095853, 122927.69417464,\n",
       "        120569.57237705, 125034.31875765, 134754.91437977,\n",
       "        138876.00478475, 145775.9273347 ],\n",
       "       [ 93710.51654169, 129373.2375846 , 109767.24679661,\n",
       "        106747.33747168, 118014.46608695, 135389.74619482,\n",
       "        101080.00673818, 108141.83732208, 115243.94862416,\n",
       "        100352.28330494, 114838.17738777, 119711.28200594,\n",
       "        111541.2951899 ,  84714.65463135, 118619.17813658,\n",
       "         97902.79911342, 104417.3643442 , 119814.24430309,\n",
       "        112196.54093453, 119227.63319359],\n",
       "       [121476.40392393, 147733.00373515, 133095.94676457,\n",
       "        122138.86973101, 113323.0335134 , 101080.00673818,\n",
       "        151880.66667787, 116045.35955997, 108127.08211659,\n",
       "         99912.6640563 , 136199.16798114, 137250.08969051,\n",
       "        118404.08912531, 102879.50477811, 133519.86996275,\n",
       "         99233.43452871, 116075.56365395, 126237.41086618,\n",
       "        112876.81371146, 132221.20172432],\n",
       "       [106115.98487967, 140074.92838042, 132789.7968447 ,\n",
       "        124990.06990125, 129647.35611466, 108141.83732208,\n",
       "        116045.35955997, 157474.47053715, 122206.46636651,\n",
       "        117186.53279732, 146933.80377351, 136561.48383686,\n",
       "        127901.70748693, 107195.00243931, 137226.46905817,\n",
       "        106721.93296559, 113270.23333132, 125911.25944541,\n",
       "        118457.13623713, 133192.39593847],\n",
       "       [108474.45459776, 138165.0514419 , 128809.76423868,\n",
       "        113267.77974114, 136162.35352898, 115243.94862416,\n",
       "        108127.08211659, 122206.46636651, 166229.50858264,\n",
       "        113980.81740394, 131934.98257034, 138258.20127611,\n",
       "        128600.65695436, 106094.84983467, 125566.89397304,\n",
       "         99432.39921129, 117298.56584291, 120191.49058685,\n",
       "        119048.82407554, 122224.27503591],\n",
       "       [ 97971.07721241, 134275.8882438 , 120322.54551324,\n",
       "        108742.96466343, 121529.39177189, 100352.28330494,\n",
       "         99912.6640563 , 117186.53279732, 113980.81740394,\n",
       "        154706.23412074, 123531.33539427, 123636.17861437,\n",
       "        120435.15981665, 102443.29126225, 116244.06676188,\n",
       "        101079.04031655, 113691.76335553, 118318.70733329,\n",
       "        113681.80144083, 122989.33400803],\n",
       "       [131859.42941356, 173211.67578061, 157890.16203522,\n",
       "        137389.62826407, 147662.76226718, 114838.17738777,\n",
       "        136199.16798114, 146933.80377351, 131934.98257034,\n",
       "        123531.33539427, 191939.04589884, 155799.37238331,\n",
       "        152851.15142123, 118881.76029451, 151037.07622947,\n",
       "        135710.62126071, 145087.8591343 , 151258.36349145,\n",
       "        144547.81009023, 147516.9154375 ],\n",
       "       [122967.8407579 , 157984.46631436, 135875.28017375,\n",
       "        125934.40013047, 144382.14632804, 119711.28200594,\n",
       "        137250.08969051, 136561.48383686, 138258.20127611,\n",
       "        123636.17861437, 155799.37238331, 186240.71622822,\n",
       "        146076.72286527, 116530.35889407, 148614.83907398,\n",
       "        111143.17958321, 130740.86354712, 142220.37617227,\n",
       "        135013.81259639, 147120.46874505],\n",
       "       [117736.0507943 , 150096.59871898, 151902.79512042,\n",
       "        114562.32448867, 140090.26138795, 111541.2951899 ,\n",
       "        118404.08912531, 127901.70748693, 128600.65695436,\n",
       "        120435.15981665, 152851.15142123, 146076.72286527,\n",
       "        176722.77653006, 108254.98979361, 131234.79492595,\n",
       "        115949.01027877, 127242.82515492, 141474.80215573,\n",
       "        146049.49066111, 133346.24295423],\n",
       "       [102494.76239164, 123071.40401045, 118906.92981258,\n",
       "        101573.87844261, 102694.01095853,  84714.65463135,\n",
       "        102879.50477811, 107195.00243931, 106094.84983467,\n",
       "        102443.29126225, 118881.76029451, 116530.35889407,\n",
       "        108254.98979361, 131744.57936873, 114157.54969008,\n",
       "         83431.31060408, 103981.18084226, 103655.78102425,\n",
       "        102765.1758593 , 105816.20901888],\n",
       "       [133562.66968841, 156416.66757068, 141674.91504509,\n",
       "        136071.33122668, 122927.69417464, 118619.17813658,\n",
       "        133519.86996275, 137226.46905817, 125566.89397304,\n",
       "        116244.06676188, 151037.07622947, 148614.83907398,\n",
       "        131234.79492595, 114157.54969008, 178327.30618129,\n",
       "        115333.78288395, 129597.72988334, 142956.27935174,\n",
       "        128000.26363994, 133720.03880396],\n",
       "       [111942.51630097, 126286.74620133, 117700.9459328 ,\n",
       "        108338.9826602 , 120569.57237705,  97902.79911342,\n",
       "         99233.43452871, 106721.93296559,  99432.39921129,\n",
       "        101079.04031655, 135710.62126071, 111143.17958321,\n",
       "        115949.01027877,  83431.31060408, 115333.78288395,\n",
       "        138773.02434887, 109792.57364882, 125022.04004507,\n",
       "        109842.79036868, 120301.61978146],\n",
       "       [111761.63810227, 148156.06078107, 129696.3457347 ,\n",
       "        119275.64152925, 125034.31875765, 104417.3643442 ,\n",
       "        116075.56365395, 113270.23333132, 117298.56584291,\n",
       "        113691.76335553, 145087.8591343 , 130740.86354712,\n",
       "        127242.82515492, 103981.18084226, 129597.72988334,\n",
       "        109792.57364882, 160711.16684666, 127237.52221474,\n",
       "        119602.22892725, 128116.62674377],\n",
       "       [126892.30150792, 174288.73215696, 150969.6939897 ,\n",
       "        134486.37781964, 134754.91437977, 119814.24430309,\n",
       "        126237.41086618, 125911.25944541, 120191.49058685,\n",
       "        118318.70733329, 151258.36349145, 142220.37617227,\n",
       "        141474.80215573, 103655.78102425, 142956.27935174,\n",
       "        125022.04004507, 127237.52221474, 177862.55697498,\n",
       "        146258.08959271, 137981.57604992],\n",
       "       [114064.23128039, 150709.65242627, 143151.62043831,\n",
       "        128787.04387052, 138876.00478475, 112196.54093453,\n",
       "        112876.81371146, 118457.13623713, 119048.82407554,\n",
       "        113681.80144083, 144547.81009023, 135013.81259639,\n",
       "        146049.49066111, 102765.1758593 , 128000.26363994,\n",
       "        109842.79036868, 119602.22892725, 146258.08959271,\n",
       "        172509.69432006, 130355.17856673],\n",
       "       [121282.46252407, 154781.09202476, 143072.59636798,\n",
       "        123477.46253439, 145775.9273347 , 119227.63319359,\n",
       "        132221.20172432, 133192.39593847, 122224.27503591,\n",
       "        122989.33400803, 147516.9154375 , 147120.46874505,\n",
       "        133346.24295423, 105816.20901888, 133720.03880396,\n",
       "        120301.61978146, 128116.62674377, 137981.57604992,\n",
       "        130355.17856673, 178723.08288711]])"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "## BEGIN CODE\n",
    "p = np.dot(a,A)\n",
    "p\n",
    "## END CODE"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Task 4: Find the row-wise sum of the resulting matrix"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([2365442.27809957, 3002112.3995789 , 2779184.43777157,\n",
       "       2477210.32440039, 2627759.87742664, 2220803.79590608,\n",
       "       2429710.18283941, 2508044.22721641, 2459318.36600334,\n",
       "       2325031.07739166, 2896081.10050922, 2762062.07921721,\n",
       "       2660473.74582437, 2141287.18395127, 2694809.41626161,\n",
       "       2254508.32241154, 2480788.07237605, 2727792.51946167,\n",
       "       2586794.20382212, 2681242.33967484])"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "## BEGIN CODE\n",
    "Rs = np.sum(p,axis = 1)\n",
    "Rs \n",
    "## END CODE"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Task 5: Find the square root of all elements in the resulting matrix"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1537.99944021, 1732.66049749, 1667.08861125, 1573.91560269,\n",
       "       1621.03666751, 1490.23615441, 1558.75276514, 1583.68059507,\n",
       "       1568.2214021 , 1524.80525884, 1701.7876191 , 1661.94526962,\n",
       "       1631.09587266, 1463.31376811, 1641.58746836, 1501.50202211,\n",
       "       1575.05176816, 1651.60301509, 1608.35139314, 1637.44995028])"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "## BEGIN CODE\n",
    "Sq = np.sqrt(Rs)\n",
    "Sq\n",
    "## END CODE"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Task 6: Find the sine value of all elements in the resulting matrix"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([-0.98203514, -0.99739839,  0.88988262,  0.0223149 , -0.02513909,\n",
       "        0.90063852,  0.49931585,  0.31257026, -0.53682381, -0.90561256,\n",
       "       -0.81665967, -0.04274285, -0.57228164, -0.61973772,  0.99446036,\n",
       "       -0.17830768, -0.89740342, -0.76736444, -0.14354788, -0.62893124])"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "## BEGIN CODE\n",
    "Si = np.sin(Sq) \n",
    "Si\n",
    "## END CODE"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Create submission file"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "## Assign the name of the variable containing the final matrix to VARIABLE_NAME variable.\n",
    "\n",
    "VARIABLE_NAME = Si\n",
    "with open('submission.pickle', 'wb') as p:\n",
    "    pickle.dump(VARIABLE_NAME, p)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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