cachematrix.R

## Caching the Inverse of a Matrix

## This function creates a special "matrix" object that can cache its inverse.
## Input:  A matrix
## Output: It returns a list containing a function to - set the value of the matrix, get the value of the mtarix, set the inverse of the matrix, get the inverse of the matrix

makeCacheMatrix <- function(x = matrix()) {
  inverseM <- NULL
  set <- function(y) {
    x <<- y
    inverseM <<- NULL
  }
  get <- function() x
  setinverse <- function(inverse) inverseM <<- inverse
  getinverse <- function() inverseM
  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 would retrieve the inverse from the cache.

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
}