Changes in makeCacheMatrix and cacheSolve

Added comments, and creation of makeCacheMatrix body as well as
cacheSolve

Author: DF

cachematrix.R

@@ -1,15 +1,38 @@
 ## Put comments here that give an overall description of what your
 ## functions do
+## For costly computation sometimes there's benefit caching the functions. 
+## The purpose of the functions below is to cache the inverse of a matrix rathen than compute it repeatedly.
 
 ## Write a short comment describing this function
-
+## Creates a special "matrix" object that can cache its inverse
 makeCacheMatrix <- function(x = matrix()) {
-
+  m <- NULL
+  set <- function(y) {
+    x <<- y
+    m <<- NULL
+  }
+  get <- function() x
+  setinverse <- function(inverse) m <<- inverse
+  getinverse <- function() m
+  list(set = set, get = get,
+       setinverse = setinverse,
+       getinverse = getinverse)
 }
 
 
 ## Write a short comment describing 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'
+  ## 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
 }