Introduction

in this programming assignment the goal is to take advantage of lexical scoping

Example: Caching the Mean of a Vector

In this example we introduce the <<- operator which can be used to assign a value to an object in an environment that is different from the current environment. below you can see how code is written in the first level we get matrix a and compute the inverse and cache it in memory

      ` makeCacheMatrix <- function(x = matrix()) {
      t<-NULL   

      set<-function(y){  
        x<<-y  
        t<<-NULL 
         }

      get<-function() x  
      setinverse<-function(solve) t<<- solve  
      getinverse<-function() t 

      list (set=set, get = get,  
            setinverse = setinverse,
            getinverse = getinverse)
         }`

The following function calculates the inverse of matrix but first it check if we have the same value in makeCacheMatrixif so then it doesnot run the execution again and just return that matrix and if it wasnot in the memory it going to compute the inverse and then save it as a chache so it will be available for later.

    `cacheSolve <- function(x , ...) {
      t <- x$getinverse() 
      if(!is.null(t)){
          message("getting cached data")
          return(t) 
        }

        y <- x$get() 
        x$set(y) 
        t <- solve(y, ...) 
        x$setinverse(t) 
        t 
    }`

Assignment: Caching the Inverse of a Matrix