cachematrix.R

## Put comments here that give an overall description of what your
## functions do

makeCacheMatrix <- function(x = matrix()) {
## This function creates a special "matrix" object that can cache its inverse.
    m <- NULL
    set <- function(y) {
        x <<- y
        m <<- NULL
    }
    get <- function() x
    setinverse <- function(inverse) m <<- inverse
    getinverse <- function() m
    list(set = set, get = get,
         setinverse = setinverse,
         getinverse = getinverse)
}


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