cachematrix.R

## Assignment 2: Caching the Inverse of a Matrix
##  write a pair of functions that cache the inverse of a matrix.
## assume that the matrix supplied is always invertible.


## makeCacheMatrix: This function creates a special "matrix" object that can cache its inverse.
## Computing the inverse of a square matrix can be done with the solve function in R. 
## For example, if X is a square invertible matrix, then solve(X) returns its inverse.
## Caching the Mean of a Vector

makeCacheMatrix <- function(x = matrix()) {
  inv <- NULL
  set <- function(y) {
    x <<- y
    inv <<- NULL
  }
  get <- function() x
  setInverse <- function(inverse) inv <<- inverse
  getInverse <- function() inv
  list(set = set,
       get = get,
       setInverse = setInverse,
       getInverse = getInverse)
}



## cacheSolve: 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 should retrieve the inverse from the cache



cacheSolve <- function(x, ...) {
  ## return a matrix that is the inverse of x
  inv <- x$getInverse()
  if (!is.null(inv)) {
    message("getting cached data")
    return(inv)
  }
  mat <- x$get()
  inv <- solve(mat, ...)
  x$setInverse(inv)
  inv
}