Written makeCacheMatrix and cacheSolve functions

Author: alexreijs

cachematrix.R

@@ -1,15 +1,41 @@
-## Put comments here that give an overall description of what your
-## functions do
+## These functions will compute the inverse of a given matrix
+## This is assuming the matrix is inversible 
+## Once the inverse has been calculated it is stored in a cache
+## If the inverse is requested again, the cached value is returned
 
-## Write a short comment describing this function
 
-makeCacheMatrix <- function(x = matrix()) {
 
+## This function will create a special list containing functions
+## These functions can be used to set and get the matrix used
+## or to set and get the inverse of the matrix
+
+makeCacheMatrix <- function(x = matrix()) {
+    i <- NULL
+    set <- function(y) {
+        x <<- y
+        i <<- NULL
+    }
+    get <- function() x
+    setinverse <- function(inverse) i <<- inverse
+    getinverse <- function() i
+    list(set = set, get = get,
+         setinverse = setinverse,
+         getinverse = getinverse)
 }
 
 
-## Write a short comment describing this function
+## This function uses the special list created by 'makeCacheMatrix'
+## It will check for a cached value of the inverse matrix and return it if found
+## If no cached value is found, calculate, set and return the inverse matrix
 
 cacheSolve <- function(x, ...) {
-        ## Return a matrix that is the inverse of 'x'
+    i <- x$getinverse()
+    if(!is.null(i)) {
+        message("getting cached data")
+        return(i)
+    }
+    data <- x$get()
+    i <- solve(data, ...)
+    x$setinverse(i)
+    i
 }