From 1661e6b7345b03d2bead9ccaa1c62df5f799a52d Mon Sep 17 00:00:00 2001
From: yektaabedishirazuni
 <141032746+yektaabedishirazuni@users.noreply.github.com>
Date: Fri, 21 Feb 2025 11:37:50 +0330
Subject: [PATCH] Completed programming assignment 2

---
 cachematrix.R | 50 ++++++++++++++++++++++++++++++++++++++++----------
 1 file changed, 40 insertions(+), 10 deletions(-)

diff --git a/cachematrix.R b/cachematrix.R
index a50be65aa44..0be48d5e5fe 100644
--- a/cachematrix.R
+++ b/cachematrix.R
@@ -1,15 +1,45 @@
-## Put comments here that give an overall description of what your
-## functions do
-
-## Write a short comment describing this function
-
+# This function creates a special matrix object that can cache its inverse
 makeCacheMatrix <- function(x = matrix()) {
-
+  inv <- NULL  # Initialize inverse as NULL
+  
+  # Function to set the value of the matrix
+  set <- function(y) {
+    x <<- y
+    inv <<- NULL  # Reset inverse when the matrix changes
+  }
+  
+  # Function to get the value of the matrix
+  get <- function() x
+  
+  # Function to set the inverse of the matrix
+  setinverse <- function(inverse) inv <<- inverse
+  
+  # Function to get the inverse of the matrix
+  getinverse <- function() inv
+  
+  # Return a list of functions
+  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
 cacheSolve <- function(x, ...) {
-        ## Return a matrix that is the inverse of 'x'
+  inv <- x$getinverse()  # Check if inverse is already cached
+  
+  # If inverse is cached, return it
+  if (!is.null(inv)) {
+    message("Getting cached inverse")
+    return(inv)
+  }
+  
+  # Otherwise, compute the inverse
+  data <- x$get()
+  inv <- solve(data, ...)  # Compute the inverse using solve()
+  x$setinverse(inv)  # Cache the computed inverse
+  inv  # Return the inverse
 }
+
+# Example usage:
+# matrix_data <- matrix(c(1, 2, 3, 4), 2, 2)
+# special_matrix <- makeCacheMatrix(matrix_data)
+# cacheSolve(special_matrix)  # Computes and caches inverse
+# cacheSolve(special_matrix)  # Retrieves cached inverse