cachematrix.R

## Below are two functions that are used to create a special object 
## that stores a numeric matrix and cache's its inverse matrix.

## The first function, makeCacheMatrix creates a special "matrix", 
## which is really a list containing a function to
## set the value of the matrix
## get the value of the matrix
## set the value of the inverse matrix
## get the value of the inverse matrix

makeCacheMatrix <- function(x = matrix()) {
  ## The function argument should be a non-singular (invertible) 
  ## square 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)
}


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