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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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+ # # Matrix inversion is usually a costly computation and there may be some
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+ # # benefit to caching the inverse of a matrix rather than compute it repeatedly
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+ # # (there are also alternatives to matrix inversion that we will not discuss
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+ # # here).
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+ # # Create a special "matrix" object that can cache its inverse.
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makeCacheMatrix <- function (x = matrix ()) {
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-
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+ m <- NULL
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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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+ setsolve <- function (solve ) m <<- solve
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+ getsolve <- function () m
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+ list (set = set , get = get ,
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+ setsolve = setsolve ,
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+ getsolve = getsolve )
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}
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- # # Write a short comment describing this function
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-
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+ # # Compute the inverse of the special "matrix" returned by makeCacheMatrix
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+ # # above. If the inverse has already been calculated (and the matrix has not
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+ # # changed), then the cachesolve should retrieve the inverse from the cache.
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+ # # Assumption: provided matrix is invertible.
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cacheSolve <- function (x , ... ) {
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# # Return a matrix that is the inverse of 'x'
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+ m <- x $ getsolve()
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+ if (! is.null(m )) {
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+ message(" getting cached data" )
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+ return (m )
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+ }
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+ data <- x $ get()
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+ m <- solve(data , ... )
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+ x $ setsolve(m )
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+ m
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}
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