cachematrix.R

## Put comments here that give an overall description of what your
## functions do

## Creates a special matrix object that can cache its inverse
makeCacheMatrix <- function(x = matrix()) {
  ## Initialize the inverse property
  i <- NULL
  set <- function(y) {
    x <<- y
    i <<- NULL
  }
  get <- function() x
  setinverse <- function(inverse) i <<- inverse
  getinverse <- function() i
  list(set = set,
       get = get,
       setinverse = setinverse,
       getinverse = getinverse)
}

# Compute the inverse of the special matrix returned by "makeCacheMatrix"
## above. If the inverse has already been calculated (and the matrix has not
## changed), then the "cachesolve" should retrieve the inverse from the cache.
cacheSolve <- function(x, ...) {
  ## Return a matrix that is the inverse of 'x'
  i <- x$getinverse()
  if (!is.null(i)) {
    message("getting cached data")
    return(i)
  }
  data <- x$get()
  ## Calculate the inverse using matrix multiplication
  i <- solve(data, ...)
  ## Set the inverse to the object
  x$setinverse(i)
  ## Return the matrix
  i
}