Using computer algebra systems to teach linear algebra

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Title: Using computer algebra systems to teach linear algebra
Author: Bautista, Maurino
Abstract: A few years ago, David and Vivian Kraines [2] reviewed several commercially available software packages that can perform standard linear algebra computations. Most of these packages can perform only simple calculations on matrices of limited size (10 x 10 maximum) and all of them can do only either decimal or rational arithmetic. None has the ability to perform the symbolic calculations that are as much a part of linear algebra as arithmetic calculations. Computer algebra systems (CAS) like Maple and Mathematica can perform operations on matrices with symbolic entries as well as numeric ones. In addition, they provide excellent graphics that allow the visualization of certain linear algebra concepts. This article will present some of the ways that CAS can be used in teaching linear algebra and show some of the relative merits and demerits of using such packages. In most instances, several input commands are deliberately combined in a single line and certain outputs omitted to make the presentation more concise.
Description: This article may be accessed from the Scholarly Journal Archive (additional fees may apply) at: http://links.jstor.org/sici?sici=0746-8342%28199311%2924%3A5%3C462%3ASR%3E2.0.CO%3B2-6&size=LARGE&origin=JSTOR-enlargePage
Record URI: http://hdl.handle.net/1850/4732
Date: 1993-11

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