cachematrix.R

# write a pair of functions that cache the inverse of a matrix.

# makeCacheMatrix: This function creates a special "matrix" object that can cache its inverse.
# `makeCacheMatrix` creates a special "matrix", which is
# really a list containing a function to
# 1.  set the value of the matrix
# 2.  get the value of the matrix
# 3.  set the value of the inverse
# 4.  get the value of the inverse
makeCacheMatrix <- function(x = matrix()) {
    m <- NULL
    set <- function(y) {
        x <<- y
        m <<- NULL
    }
    get <- function() x
    setinverse <- function(solve) m <<- solve
    getinverse <- function() m
    list(set = set, get = get,
         setinverse = setinverse,
         getinverse = getinverse)
}


# cacheSolve: 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, ...) {
    m <- x$getinverse()
    if(!is.null(m)) {
        message("getting cached data")
        return(m)
    }
    data <- x$get()
    m <- solve(data, ...)
    x$setinverse(m)
    m
}