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Linear Transformations of a Polygon

This application shows how matrix transformations affect a given figure in the plane.

Average: 4 (2 votes)
Sergio Hannibal Mejía
Tom Polaski
Wolfram Demonstrations Project
Sergio Hannibal Mejía and Wolfram Research
Format Other: 
Requires downloading the CDF player from Wolfram (


Anonymous's picture

The user selects the entries in a 2 by 2 matrix, which may be any number s between -3 and 3. The matrix is taken to be the standard matrix of a linear transformation. The user may then select a polygon to transform by manipulating a given triangle. It is possible to add vertices to make any polygon one desires to transform, or one can use a "wolf head" provided by the author to the same end.
Anonymous's picture

Effective demonstration that can be customized by the user. (Note: Adding vertices to the polygon is achieved by Command-click on a Mac.)