solution

Author: Matthias Georgi

cachematrix.R

@@ -1,15 +1,46 @@
-## Put comments here that give an overall description of what your
-## functions do
+## makeCacheMatrix and solveCache can be used to cache
+## the matrix inverse computation. A matrix created by
+## makeCacheMatrix is a
+## special list containing functions to set and get
+## the matrix and to get and set the inverse as well.
+## solveCache will calculate the inverse and cache
+## the result of that computation.
 
-## Write a short comment describing this function
 
+## Create a matrix which allows caching the inverse
+## Return a list with four functions
+## 1. set the matrix
+## 2. get the matrix
+## 3. set the inverse of the matrix
+## 4. 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
-
+## cacheSolve returns the inverse of a special
+## matrix created with the makeCacheMatrix
+## results of the computation will be cached
 cacheSolve <- function(x, ...) {
-        ## Return a matrix that is the inverse of '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
 }