From d29ba637e7dc1beee8e35055f5e81fb3eff311e7 Mon Sep 17 00:00:00 2001
From: ItsKiron <64255294+ItsKiron@users.noreply.github.com>
Date: Sat, 30 Aug 2025 12:49:40 +0200
Subject: [PATCH] my submition to the cachematrix.R

---
 cachematrix.R | 34 ++++++++++++++++++++++++++++++----
 1 file changed, 30 insertions(+), 4 deletions(-)

diff --git a/cachematrix.R b/cachematrix.R
index a50be65aa44..33188114e36 100644
--- a/cachematrix.R
+++ b/cachematrix.R
@@ -2,14 +2,40 @@
 ## functions do
 
 ## Write a short comment describing this function
-
+# makeCacheMatrix: create a matrix that can store itself and a cached copy of its inverse once its computed
 makeCacheMatrix <- function(x = matrix()) {
-
+  inv <- NULL                        # cache for inverse 
+  
+  set <- function(y) {               # replace matrix and reset cache
+    x <<- y
+    inv <<- NULL
+  }
+  
+  get <- function() x                # return current matrix
+  
+  setinverse <- function(inverse)    # store computed inverse
+    inv <<- inverse
+  
+  getinverse <- function() inv       # return cached inverse (or NULL)
+  
+  list(set = set, get = get,
+       setinverse = setinverse,
+       getinverse = getinverse)
 }
 
 
-## Write a short comment describing this function
 
+## Write a short comment describing this function
+# cacheSolve: returns the cached inverse or computes & caches it
 cacheSolve <- function(x, ...) {
-        ## Return a matrix that is the inverse of 'x'
+  inv <- x$getinverse()              # try cache first
+  if (!is.null(inv)) {
+    message("getting the cached inverse")
+    return(inv)
+  }
+  mat <- x$get()                     # fetch matrix
+  inv <- solve(mat, ...)             # compute inverse (assumes invertible)
+  x$setinverse(inv)                  # cache result
+  inv                                 # return inverse
 }
+