cachematrix.R

## Matrix inversion is usually a costly computation.
## The first function creates the special "matrix" object and caches inverse.
## The second function computes the inverse if not in the cache.

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

makeCacheMatrix <- function(x = matrix()) {
  m <- NULL
  set <- function(y) {
    x <<- y
    m <<- NULL
  }
  get <- function() x
  setsolve <- function(solve) m <<- solve
  getsolve <- function() m
  list(set = set, get = get,
       setsolve = setsolve,
       getsolve = getsolve)
}


## 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 the cachesolve should retrieve 
## the inverse from the cache.

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


## Example usage:
## mtx <- matrix(runif(9,1,10),3,3)
## x <- makeCacheMatrix(mtx)
## cacheSolve(x)