cachematrix.R

## makeCacheMatrix: This function creates a special "matrix" object that can 
## cache its inverse.

makeCacheMatrix <- function(x = matrix()) {

  inverse <- NULL
  set <- function(y){
    x <<- y
    inverse <<- NULL
    
  }
  
  get <- function() x
  setInverse <- function(doTheInverse) inverse <<- doTheInverse
  getInverse <- function() inverse
  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'
  
  inverse <- x$getInverse()
  if(!is.null(inverse)){
    message("getting cached data")
    return(inverse)
  }
  
  data <- x$get()
  inverse <- solve(data)
  x$setInverse(inverse)
  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.
  
}