Following is a graph that contains both coordinate systems (x,y) and (x',y'). x, y, x', and y' are all axes
y' ^ | +----------> x | | | | +--+--+--+ | | | | +--+--+--+ | | | | +--+--+--+-> x' | v y
Above is a picture of a graph. For example, the following is graph or grid of the (x',y') coordinate system.
y' ^ | +--------+ | | | | +--+--+--+ | | | | +--+--+--+ | | | | +--+--+--+-> x'
What is the transformation T which transforms coordinates (x,y) to coordinates (x',y')? Please include simple, intuitive explanations and steps. Note: the solution, T, is probably a 2d matrix.