cachematrix.R

## The folowing two functions compute the inverse of a square matrix

## The following function 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)
}


## The following funcition calculates the inverse of the special "matrix" created with the above function. 
## It first checks to see if the inverse has already been calcualted. If so, it gest the inverse from the 
## cache and skips the computation. Otherwise, it calculates the inverse of the data and sets the value of 
## the inverse of the matrix in the cache via the setinverse function.

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