Update cachematrix.R

cachematrix.R

@@ -4,6 +4,27 @@
 ## Write a short comment describing this function
 
 makeCacheMatrix <- function(x = matrix()) {
+ inv <- NULL  # Initialize the inverse to NULL
+
+  # Set the matrix and clear any previously cached inverse
+  set <- function(y) {
+    x <<- y
+    inv <<- NULL
+  }
+
+  # Get the matrix
+  get <- function() x
+
+  # Set the inverse of the matrix
+  setinverse <- function(inverse) inv <<- inverse
+
+  # Get the cached inverse
+  getinverse <- function() inv
+
+  # Return a list of the functions
+  list(set = set, get = get,
+       setinverse = setinverse,
+       getinverse = getinverse)
 
 }
 
@@ -12,4 +33,17 @@ makeCacheMatrix <- function(x = matrix()) {
 
 cacheSolve <- function(x, ...) {
         ## Return a matrix that is the inverse of 'x'
+        inv <- x$getinverse()
+
+  # If inverse is already cached, return it
+  if(!is.null(inv)) {
+    message("getting cached data")
+    return(inv)
+  }
+
+  # Otherwise, compute the inverse
+  mat <- x$get()
+  inv <- solve(mat, ...)  # Use solve to compute the inverse
+  x$setinverse(inv)       # Cache the inverse
+  inv
 }