cachematrix.R

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

## Write a short comment describing this function
        ##The first function, `makeCacheMatrix` 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
    setinv <- function(inverse) inv <<- inverse
    getinv <- function() inv
    list(set= set, get=get,
         setinv = setinv,
         getinv = getinv)
}


## Write a short comment describing this function
        ##This second function computes the inverse of the special "matrix" (obtained bu solve function) 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'
         inv <- x$getinv()
    if(!is.null(inv)){
        message("getting cached data")
        return(inv)
    }
    data <- x$get()
    inv <- solve(data, ...)
    x$setinv(inv)
    inv
}