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- # # Put comments here that give an overall description of what your
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- # # functions do
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-
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- # # Write a short comment describing this function
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-
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- makeCacheMatrix <- function (x = matrix ()) {
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-
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- }
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-
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-
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- # # Write a short comment describing this function
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-
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- cacheSolve <- function (x , ... ) {
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- # # Return a matrix that is the inverse of 'x'
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- }
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+ # # makeCacheMatrix creates a function that stores a matrix for use as an argument
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+ # # to cacheSolve cacheSolve finds the inverse of a matrix created with
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+ # # makeCacheMatrix
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+
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+ # # makeCacheMatrix returns a function with a reference to the matrix passed as an
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+ # # argument The return value of this function will be used as an argument to
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+ # # cacheSolve
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+ makeCacheMatrix <- function (x = matrix ()) {
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+ m <- NULL # Set return value to NULL
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+ # Functions to get and set the matrix
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+ set <- function (y ) {
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+ x <<- y
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+ m <<- NULL
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+ }
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+ get <- function () x
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+ setinv = function (inverse ) m <<- inverse
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+ getinv = function () m
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+ list (set = set , get = get , setinv = setinv , getinv = getinv )
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+ }
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+
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+ # # cacheSolve finds the inverse of a matrix created with makeCacheMatrix If the
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+ # # inverse has already been found it is returned from a cache Else it is
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+ # # calculated and then returned.
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+ cacheSolve <- function (x , ... ) {
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+ m = x $ getinv()
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+ # If not null we already calculated the inverse so return it
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+ if (! is.null(m )) {
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+ return (m )
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+ }
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+ # m was not null so find inverse
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+ data <- x $ get()
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+ m <- solve(data , ... )
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+ x $ setinv(m )
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+ return (m )
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+ }
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