cachematrix.R

cachematrix.R

@@ -2,14 +2,55 @@
 ## functions do
 
 ## Write a short comment describing this function
+# makeCacheMatrix creates a special "matrix" object that can cache its inverse.
+# It stores a matrix and its inverse in a private environment.
+# The returned list contains functions to set and get the matrix,
+# as well as to set and get the cached inverse.
 
 makeCacheMatrix <- function(x = matrix()) {
-
+m <- NULL
+
+  set <- function(y) {
+    x <<- y
+    m <<- NULL
+  }
+
+  get <- function() {
+    x
+  }
+
+  setinverse <- function(inverse) {
+    m<<-inverse
+  }
+
+  getinverse <- function() {
+    m
+  }
+
+  list(set = set,
+       get = get,
+       setinverse = setinverse,
+       getinverse = getinverse)
 }
 
 
 ## Write a short comment describing this function
+# cacheSolve computes the inverse of the matrix stored in the special object.
+# If the inverse has already been computed, it retrieves the cached value.
+# Otherwise, it calculates the inverse using solve(), caches it,
+# and then returns the result.
 
 cacheSolve <- function(x, ...) {
         ## Return a matrix that is the inverse of 'x'
+        inv <- x$getinverse()
+
+  if (!is.null(inv)) {
+    message("getting cached data")
+    return(inv)
+  }
+
+  data <- x$get()
+  inv <- solve(data, ...)
+  x$setinverse(inv)
+  inv
 }