Update cachematrix.R

Author: armossa

cachematrix.R

@@ -13,3 +13,66 @@ makeCacheMatrix <- function(x = matrix()) {
 cacheSolve <- function(x, ...) {
         ## Return a matrix that is the inverse of 'x'
 }
+
+
+
+## A pair of functions that inverse matrices with caching 
+
+makeCacheMatrix <- function(m = matrix()) {
+  # Initialize the inverse property
+  i <- NULL
+  
+  
+  # Set the matrix
+  set <- function(mat) {
+    m <<- mat
+    i <<- NULL
+  }
+  
+  # get the matrix
+  
+  get <- function() {
+    # return the matrix
+    m
+  }
+  # the inverse matrix
+  
+  setinverse <- function(inverse){
+    i <<- inverse
+  }
+  
+  # get the inverse matrix
+  
+  getinverse <- function(){
+    i
+  }
+  # return list of methods
+  list(set = set,
+       get = get, 
+       setinverse = setinverse, 
+       getinverse = getinverse)
+}
+
+
+# Part two
+
+cacheSolve <- function(x, ...) {
+  # return the inverse of x
+  m <- x$getinverse()
+  
+  if(!is.null(m)) {
+    
+    message("getting cached data.")
+    
+    return(m)
+  }
+  
+  data <- x$get()
+  # the inverse via matrix multiplication 
+  m <- solve(data) %*% data
+  
+  x$setinverse(m)
+  
+  # return the matrix
+  m
+}