cachematrix.R

## Matrix inversion is a costly operation so there is some benefit
## caching the inverse rather than computing it repeatedly.
## In this assignment, we assume that the matrix supplied is always
## invertible.

## This function creates a special "matrix" object
## that can cache its inverse.

makeCacheMatrix <- function(x = matrix()) {
  m <- NULL
  set <- function(y) {
    x <<- y
    m <<- NULL
  }
  get <- function() x
  setsolve <- function(solve) m <<- solve
  getsolve <- function() m
  list(set = set, get = get, setsolve = setsolve, getsolve = getsolve)
}


## This function computes the inverse of the special
## "matrix" returned by `makeCacheMatrix` above. If the inverse has
## already been calculated (and the matrix has not changed), then
## `cacheSolve` should retrieve the inverse from the cache.

cacheSolve <- function(x, ...) {
  ## Return a matrix that is the inverse of 'x'
  m <- x$getsolve()
  if (!is.null(m)) {
    message("getting cached data")
    return(m)
  }
  data <- x$get()
  m <- solve(data, ...)
  x$setsolve(m)
  m
}