cachematrix.R

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

## Write a short comment describing this function
## The makeCacheMatrix function returns the list of functions, 
## which can be used to set and get values from the matrix, as well as the inverse of the matrix.
makeCacheMatrix <- function(x = matrix()) {
  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)
}


## Write a short comment describing this function
## This function computes the inverse of the special “matrix” returned by makeCacheMatrix above. 
##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'
  i <- x$getinverse()
  if (!is.null(i)) {
    message("getting cached data")
    return(i)
  }
  data <- x$get()
  i <- solve(data, ...)
  x$setinverse(i)
  i
}

mat <- matrix(c(1,2,3,4),2,2)
mat1 <- makeCacheMatrix(mat)
cacheSolve(mat1)