Electronic Proceedings of the Sixteenth Annual International Conference on Technology in Collegiate Mathematics

Chicago, Illinois, October 30-November 2, 2003

Paper S006

This is an electronic reprint, reproduced by permission of Pearson Education Inc. Originally appeared in the Proceedings of the Sixteenth Annual International Conference on Technology in Collegiate Mathematics, Edited by Corinna Mansfield, ISBN 0-321-30456-x, Copyright (C) 2005 by Addison-Wesley Publishing Company, Inc.


Geometry and Matrix Groups in Linear Algebra

Timothy D. Comar


Department of Mathematics
Benedictine University
5700 College Road
Lisle, IL 60532
USA


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ABSTRACT

We present several activities using the software Derive to integrate geometric and group theoretic notions into a linear algebra course via matrix actions on vector spaces and matrix multiplication. These activities provide additional geometric content to the mathematics major and ease the transition to more abstract courses in algebra.

Keyword(s): linear algebra, geometry, abstract algebra, Derive