cachematrix.R

## This function creates a special matrix object that can cache its inverse
makeCacheMatrix <- function(x = matrix()) {
  inv <- NULL  # Store the cached inverse
  
  set <- function(y) {
    x <<- y
    inv <<- NULL  # Reset cached inverse when matrix changes
  }
  
  get <- function() x  # Retrieve the matrix
  setInverse <- function(inverse) inv <<- inverse  # Store the inverse
  getInverse <- function() inv  # Retrieve the cached inverse
  
  list(set = set, get = get,
       setInverse = setInverse,
       getInverse = getInverse)
}

## This function computes the inverse of the special matrix returned by makeCacheMatrix
cacheSolve <- function(x, ...) {
  inv <- x$getInverse()  # Check if inverse is already cached
  
  if (!is.null(inv)) {  # If cached, return it
    message("getting cached inverse")
    return(inv)
  }
  
  data <- x$get()  # Get the matrix
  inv <- solve(data, ...)  # Compute the inverse
  x$setInverse(inv)  # Cache the inverse
  
  inv  # Return the inverse
}