attempt rdpeng#1

Author: Alex Zukowsky

cachematrix.R

@@ -1,15 +1,60 @@
-## Put comments here that give an overall description of what your
-## functions do
-
-## Write a short comment describing this function
-
-makeCacheMatrix <- function(x = matrix()) {
-
+makeCacheMatrix <- function(x = integer()) {
+  ## This function creates a special "matrix" object that can cache its inverse
+  ## The function requires the user to enter a vector of integers and creates the matrix from those integers
+  
+  ## an n-by-n square matrix A is called invertible if there exists an n-by-n square matrix B such that...
+  ## AB = BA = I(n)
+  ## A matrix must be a square (same number of rows as columns) to be invertible however not all square...
+  ## matrices are invertible
+  ## This function assumes an invertible square matrix
+  
+  ## This line of code calculates the number of rows/columns for our square matrix
+  ## If required an error check would have been put into place to ensure the list of integers...
+  ## could be converted to a square matrix
+  cnt <- sqrt(length(x))
+  ## This line of code creates out matrix from x
+  MX <- matrix(x, cnt, cnt)
+  
+  m <- NULL
+  
+  ## This function sets the value of the matrix
+  set <- function(y) {
+    x <<- y
+    m <<- NULL
+  }
+  
+  ## This function gets the value of the matrix
+  get <- function() x
+  
+  #This function sets the value of the inverse of the matrix
+  setinverse <- function(solve) m <<- solve
+  
+  #This function gets the value of the inverse of the matrix
+  getinverse <- function() m
+  
+  # This line of code contructs our list
+  list(set = set, get = get,
+       setinverse = setinverse,
+       getinverse = getinverse)
 }
 
 
-## Write a short comment describing this function
 
 cacheSolve <- function(x, ...) {
-        ## Return a matrix that is the inverse of 'x'
+  ## 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.
+  
+  ## Check to see if the cashed inverse already exists
+  m <- x$getinverse()
+  if(!is.null(m)) {
+    message("getting cached inverse")
+    return(m)
+  }
+  
+  # Calculate the inverse of the matrix and sets the value of the matrix in the cache via a setinverse function
+  data <- x$get()
+  m <- solve(data, ...)
+  x$setinverse(m)
+  m
 }