cachematrix.R

## to create a cache matrix object that caches the inverse of a matrix rather than compute it repeatedly

## makeCacheMatrix: This function creates a special "matrix" object that cache its inverse. 
## It is an object that allows access to its matrix and its inverse

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


## 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 the cacheSolve 
## will retrieve the inverse from the cache.

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