Update cachematrix.R

cachematrix.R

@@ -1,15 +1,47 @@
-## 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 median.
+## It includes functions to set and get the matrix, and to set and get the cached median.
 
-makeCacheMatrix <- function(x = matrix()) {
 
+## This function computes the median of the special "matrix" returned by makeCacheMatrix.
+
+makeCacheMatrix <- function(x = matrix()) {
+  inv <- NULL
+
+  set <- function(y) {
+    x <<- y
+    inv <<- NULL  # Reset the inverse when the matrix is changed
+  }
+
+  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
+
 
 cacheSolve <- function(x, ...) {
-        ## Return a matrix that is the inverse of 'x'
-}
+  # Try to get the cached inverse
+  inv <- x$getInverse()
+
+  # If the inverse is already cached, return it
+  if (!is.null(inv)) {
+    message("Getting cached inverse")
+    return(inv)
+  }
+
+  # If not cached, compute the inverse
+  mat <- x$get()         # Get the matrix
+  inv <- solve(mat, ...) # Compute the inverse using solve()
+
+  # Cache the inverse for future use
+
+