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Using Maple to Make Manageable Matrices

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Maple in Mathematics Education and Research (MC 2019)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 1125))

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Abstract

This paper describes an application of Maple in the teaching of linear algebra. The topic is the construction of an orthogonal basis for a set of vectors or a matrix using Householder transformations. We present a method for generating matrices which, when subject to using Householder transformations, require only rational computations and give rational results. The pedagogical problem addressed is that numerical examples in this topic will usually contain unsimplified square roots, which add an extra layer of difficulty for students working examples.

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Author information

Authors and Affiliations

  1. Department of Applied Mathematics and ORCCA, The University of Western Ontario, London, ON, Canada

    Ana C. Camargos Couto & David J. Jeffrey

Authors
  1. Ana C. Camargos Couto
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  2. David J. Jeffrey
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Corresponding author

Correspondence to David J. Jeffrey .

Editor information

Editors and Affiliations

  1. Maplesoft, Waterloo, ON, Canada

    Jürgen Gerhard

  2. Wilfrid Laurier University, Waterloo, ON, Canada

    Ilias Kotsireas

Appendix: Supplementary Code

Appendix: Supplementary Code

figure c

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Couto, A.C.C., Jeffrey, D.J. (2020). Using Maple to Make Manageable Matrices. In: Gerhard, J., Kotsireas, I. (eds) Maple in Mathematics Education and Research. MC 2019. Communications in Computer and Information Science, vol 1125. Springer, Cham. https://doi.org/10.1007/978-3-030-41258-6_16

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  • DOI: https://doi.org/10.1007/978-3-030-41258-6_16

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-41257-9

  • Online ISBN: 978-3-030-41258-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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