cachematrix.R

## These functions cache the inverse of a matrix

## This function creates a special "matrix" object that can cache its inverse

makeCacheMatrix <- function(x = matrix()) {
        inv <<- NULL
        set <- function(y) {
                x <<- y
                inv <<- NULL
        }
        get <- function() x
        set_inverse <- function(inverse) inv <<- inverse
        get_inverse <- function() inv
        list(set = set, get = get, set_inverse = set_inverse,
             get_inverse = get_inverse)
}


## This function computes the inverse of the special "matrix" returned by
## makeCacheMatrix. If the inverse has already been calculated (and the matrix
## has not changed), then cacheSolve should retrieve the inverse from the cache

cacheSolve <- function(x, ...) {
        ## Return a matrix that is the inverse of 'x'
        inv <- x$get_inverse()
        if(!is.null(inv)) {
                message("getting cached data")
                return(inv)
        }
        data <- x$get()
        inv <- solve(data)
        x$set_inverse(inv)
        inv
}