cachematrix.R

## This set of functions enables the user to cache the time-consuming operation of inverting a matrix. 

## makeCacheMatrix - 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
    
    setinv <- function(inverse) inv <<- inverse
    getinv <- function() inv
    list(set=set, get=get, setinv = setinv, getinv = getinv)
}


## cacheSolve - This function computes the inverse of the special "matrix" returned by makeCacheMatrix above.

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