cachematrix.R

## This function creates a special "matrix" object that can cache its inverse
makeCacheMatrix <- function(x = matrix()) {
  inverseMatrix <- NULL
  set <- function(y) {
    x <<- y
    inverseMatrix <<- NULL
  }
  get <- function() x
  setinverse <- function(inverse) inverseMatrix <<- inverse
  getinverse <- function() inverseMatrix
  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 cacheSolve should retrieve the inverse from the cache.
cacheSolve <- function(x, ...) {
  invM <- x$getinverse()
  if(!is.null(invM)) {
    message("getting cached data")
    return(invM)
  }
  cacheMatrix <- x$get()
  invM <- solve(cacheMatrix)
  x$setinverse(invM)
  invM
}