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Erschienen in:
2020 | OriginalPaper | Buchkapitel
Using Maple to Make Manageable Matrices
verfasst von : Ana C. Camargos Couto, David J. Jeffrey
Erschienen in: Maple in Mathematics Education and Research
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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.