Update cachematrix.R

cachematrix.R

@@ -1,15 +1,42 @@
-## Put comments here that give an overall description of what your
-## functions do
-
-## Write a short comment describing this function
+# The following "makeCacheMatrix" function is to create a special "matrix" object that can cache its inverse
 
 makeCacheMatrix <- function(x = matrix()) {
-
+  inv <- NULL # Initialize the inverse as NULL
+
+  # Set the matrix
+  set <- function(y) {
+    x <<- y
+    inv <<- NULL # Reset the inverse when the matrix is updated
+  }
+
+  # Get the matrix
+  get <- function() x
+
+  # Set the inverse
+  setInverse <- function(inverse) inv <<- inverse
+
+  # Get the inverse
+  getInverse <- function() inv
+
+  # Return a list
+  list(set = set, get = get,
+       setInverse = setInverse,
+       getInverse = getInverse)
 }
 
-
-## Write a short comment describing this function
+# The following "cacheSolve" function is to compute the inverse of the "matrix" returned by makeCacheMatrix
 
 cacheSolve <- function(x, ...) {
-        ## Return a matrix that is the inverse of 'x'
+  inv <- x$getInverse() # Check if the inverse is already cached
+
+  if (!is.null(inv)) {
+    message("Getting cached inverse!")
+    return(inv) # Return the cached inverse
+  }
+
+  # If inverse is not cached, calculate it
+  mat <- x$get()
+  inv <- solve(mat, ...) # Compute the inverse
+  x$setInverse(inv) # Cache the inverse
+  inv
 }