cachematrix.R

## Caching the inverse of a Matrix

## Creates a special "matrix" object that can cache its inverse
makeCacheMatrix <- function(x = matrix()) { 
        m <- NULL
        set <- function(y) {
                x <<- y
                m <<- NULL
        }
        get <- function() x
        setmatrix <- function(matrix) m <<- matrix
        getmatrix <- function() m
        list(set = set, get = get, setmatrix = setmatrix, getmatrix = getmatrix)
}


## 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, ...) {
        ## Return a matrix that is the inverse of 'x'
        m <- x$getmatrix()
        if(!is.null(m)) {
                message("getting cached data")
                return(m)
        }
        data <- x$get()
        m <- solve(data, ...)
        x$setmatrix(m)
        m
}