cachematrix.R

## the idea behind these 2 functions is to cache the inverse of a matric as matrix inversion of 
## a large vectrors can take a long time otherwise

## This function takes a matrix and creates an object that can cache its inverse

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


## computes the inverse of the matrix object 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=matrix(), ...) {
  m<-x$getmatrix()
  if(!is.null(m)){
    message("getting cached data")
    return(m)
  }
  matrix <- x$get() 
  m<-solve(matrix, ...)
  x$setmatrix(m)
  m
}