R-assignment submission

# Define the combined functions

makeCacheMatrix <- function(x = matrix()) {
  inv <- NULL  # Variable to store the inverse
  
  # Set the value of the matrix
  set <- function(y) {
    x <<- y
    inv <<- NULL  # Reset the inverse when a new matrix is set
  }
  
  # Get the value of the matrix
  get <- function() x
  
  # Set the value of the inverse
  setInverse <- function(inverse) inv <<- inverse
  
  # Get the value of the inverse
  getInverse <- function() inv
  
  # Return a list of functions to interact with the matrix and its inverse
  list(set = set, get = get, 
       setInverse = setInverse, 
       getInverse = getInverse)
}

cacheSolve <- function(x, ...) {
  # Retrieve the cached inverse
  inv <- x$getInverse()
  
  # If the inverse is already cached, return it
  if (!is.null(inv)) {
    message("getting cached data")
    return(inv)
  }
  
  # Otherwise, calculate the inverse
  data <- x$get()  # Get the matrix
  inv <- solve(data, ...)  # Compute the inverse
  
  # Cache the inverse
  x$setInverse(inv)
  
  # Return the inverse
  inv
}

# Example usage:

# Create a special matrix object
myMatrix <- makeCacheMatrix(matrix(c(1, 2, 3, 4), 2, 2))

# Compute the inverse for the first time (not cached)
inverse <- cacheSolve(myMatrix)
print(inverse)

# Get the cached inverse without recomputing
inverse_cached <- cacheSolve(myMatrix)
print(inverse_cached)