From 7ac13ee4df1346ba4bac3bde9fa16b4e1174fb09 Mon Sep 17 00:00:00 2001
From: emilyhyc05 <emilycoong05@gmail.com>
Date: Sun, 31 Aug 2025 20:15:22 +0100
Subject: [PATCH] Update cachematrix.R

---
 cachematrix.R | 32 +++++++++++++++++++++++++++++++-
 1 file changed, 31 insertions(+), 1 deletion(-)

diff --git a/cachematrix.R b/cachematrix.R
index a50be65aa44..6d6feb1eea1 100644
--- a/cachematrix.R
+++ b/cachematrix.R
@@ -1,15 +1,45 @@
 ## Put comments here that give an overall description of what your
 ## functions do
+## These functions create a special matrix object that can cache its inverse.
+## makeCacheMatrix: creates the special matrix object with functions to set/get the matrix and its inverse.
+## cacheSolve: computes the inverse of the matrix, or retrieves it from the cache if already calculated.
 
 ## Write a short comment describing this function
+## makeCacheMatrix creates a special matrix object that can store its inverse
 
 makeCacheMatrix <- function(x = matrix()) {
-
+        inv <- NULL
+        set <- function (y) {
+          x <<- y
+          inv <<- NULL
+        }
+        
+        get <- function() x
+        setInverse <- function(inverse) inv <<- inverse.gaussian
+        getInverse <- function() inv
+        
+        list(set = set, get = get, 
+             setInverse = setInverse, 
+             getInverse = getInverse)
 }
 
 
 ## Write a short comment describing this function
+## Computes the inverse of the special "matrix" object created by makeCacheMatrix. If the inverse
+## has already been calculated and the matrix has not changed, it retrieves the cached inverse to 
+## avoid recomputation
 
 cacheSolve <- function(x, ...) {
         ## Return a matrix that is the inverse of 'x'
+        inv <- x$getInverse()
+        
+        if (!is.null(inv)) {
+          message("getting cached data")
+          return(inv)
+        }
+        ## Return a matrix that is the inverse of 'x'
+        data <- x$get()
+        inv <- solve(data, ...)
+        x$setInverse(inv)
+        inv
 }