complete the functions

Author: unknown

cachematrix.R

@@ -1,15 +1,36 @@
-## Put comments here that give an overall description of what your
-## functions do
+# Matrix inversion is usually a costly computation and their may be some benefit 
+# to caching the inverse of a matrix rather than compute it repeatedly 
 
-## Write a short comment describing this function
+# This function creates a special "matrix" object that can cache its inverse.
 
 makeCacheMatrix <- function(x = matrix()) {
-
+    i <- NULL
+    set <- function(y) {
+        x <<- y
+        m <<- 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 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'
+    i <- x$getinverse()
+    if (!is.null(i)) {
+        message("gettting cached data")
+        return(i)
+    }
+    
+    data <- x$get()
+    i <- solve(data, ...)
+    x$setinverse(i)
+    i
 }