The columns of transformation matrix T are controlled by points A and B. Point A controls the first column. Point B controls the second column.
[color=#c51414]Drag points A and B to and observe what happens.[/color]
[color=#b20ea8]Drag points A and B to illustrate the following transformations:
[list]
[*]A reflection in the x-axis.
[*]A reflection in the y-axis.
[*]A reflection in the line y=x.
[*]A reflection in the line y=-x.
[*]A counter-clockwise quarter-turn around the origin.
[*]A clockwise quarter-turn around the origin.
[*]A half-turn around the origin.
[/list][/color]