cachematrix.R

## Here is a pair of functions that cache the inverse of a matrix.

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

makeCacheMatrix <- function(x = matrix()) {
        m <- NULL
        set <- function(y = matrix()) {
                x <<- y
                m <<- NULL
        }
        get <- function() x
        setinverse <- function(inverse) m <<- inverse
        getinverse <- function() m
        list(set = set, get = get,
             setinverse = setinverse,
             getinverse = getinverse)   
}


## The second 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 the 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        ## Return a matrix that is the inverse of 'x'
}