Going on the thought that interaction aids learning, I recently put together a very crude interactive jsfiddle to help visualize 2-d matrix transforms here: https://jsfiddle.net/holoopooj/31yt1ytp/6/ You click and drag in the left graph area and see the transformed vector on the right. The matrix values can be changed at the top. I've only tested in chrome on desktop. You may have to vertically expand the lower right pane to see all of the drawing area.