From 8624dd99af0cf066748b0ef52eaddf248a0a1d7b Mon Sep 17 00:00:00 2001
From: Nirmit3 <nirmit030305@gmail.com>
Date: Fri, 30 May 2025 22:21:31 +0530
Subject: [PATCH 1/2] Update cachematrix.R

---
 cachematrix.R | 32 ++++++++++++++++++++++----------
 1 file changed, 22 insertions(+), 10 deletions(-)

diff --git a/cachematrix.R b/cachematrix.R
index a50be65aa44..5b43f08d60b 100644
--- a/cachematrix.R
+++ b/cachematrix.R
@@ -1,15 +1,27 @@
-## 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
+  set <- function(y) {
+    x <<- y       # assign new matrix value
+    inv <<- NULL  # reset inverse cache
+  }
+  get <- function() x
+  setinverse <- function(inverse) inv <<- inverse
+  getinverse <- function() inv
+  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.
 cacheSolve <- function(x, ...) {
-        ## Return a matrix that is the inverse of 'x'
+  inv <- x$getinverse()
+  if(!is.null(inv)) {
+    message("getting cached data")
+    return(inv)  # return cached inverse
+  }
+  data <- x$get()
+  inv <- solve(data, ...)  # compute inverse
+  x$setinverse(inv)        # cache the inverse
+  inv
 }

From 6e581708dafc723d31a397f14191052a46ee8ad8 Mon Sep 17 00:00:00 2001
From: Nirmit3 <nirmit030305@gmail.com>
Date: Fri, 30 May 2025 22:40:06 +0530
Subject: [PATCH 2/2] Create .Rhistory

---
 .Rhistory | 26 ++++++++++++++++++++++++++
 1 file changed, 26 insertions(+)
 create mode 100644 .Rhistory

diff --git a/.Rhistory b/.Rhistory
new file mode 100644
index 00000000000..054ee17affe
--- /dev/null
+++ b/.Rhistory
@@ -0,0 +1,26 @@
+## This function creates a special "matrix" object that can cache its inverse.
+makeCacheMatrix <- function(x = matrix()) {
+inv <- NULL  # initialize inverse as NULL
+set <- function(y) {
+x <<- y       # assign new matrix value
+inv <<- NULL  # reset inverse cache
+}
+get <- function() x
+setinverse <- function(inverse) inv <<- inverse
+getinverse <- function() inv
+list(set = set, get = get,
+setinverse = setinverse,
+getinverse = getinverse)
+}
+## This function computes the inverse of the special "matrix" returned by makeCacheMatrix above.
+cacheSolve <- function(x, ...) {
+inv <- x$getinverse()
+if(!is.null(inv)) {
+message("getting cached data")
+return(inv)  # return cached inverse
+}
+data <- x$get()
+inv <- solve(data, ...)  # compute inverse
+x$setinverse(inv)        # cache the inverse
+inv
+}