Derive Workshop Matrix Algebra and Linear Algebra

Abstract

This document presents the course content for a workshop that integrates the use of the computer algebra system Derive with topics in matrix and linear algebra. The first section is a guide to using Derive that provides information on how to write algebraic expressions, make graphs, save files, edit, define functions, differentiate expressions, calculate both definite and indefinite integrals, calculate Riemann sums, plot polar graphs, and print. Subsequent sections discuss the following topics and their development in Derive: (1) matrix algebra; (2) exercises in systems of linear equations; (3) exercises in linear algebra; (4) solutions to maximization problems in linear programming; (5) graphing strategies in linear programming with Derive; (6) examples and exercises with graphing; (7) the Simplex Method of solving linear programming problems with Derive; (8) examples and exercises with the Simplex Method; (9) linear programming and the Simplex Method in Derive; and (10) a Derive stack for LINPRO.MTH. An additional resource list with 16 references is provided. (MDH)