Animating Transformations

A demonstration designed to help students visualize transformations and mappings used to move (rotating, reflecting, translating), resize (contracting, expanding), and reshape (shearing, projecting) objects in the plane. While one can easily visualize the effect of such a transformation on particular points or on easily described objects like lines or rectangles, the effect on more complicated objects like graphs of functions or general plane curves is more difficult to visualize. The goal of this demo is to help students more easily visualize such transformations on a wide class of plane objects. Furthermore, use of this demo provide students with a better intuitive feel for the interrelationship between the algebra and the geometry involved, one of the most important foundations of linear algebra.