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Winter 2001 Symmetric Pythagorean Triple Preserving Matrices
James T. Bruening, Tracy R. Lohmeier, Cheryl L. Sebaugh
Missouri J. Math. Sci. 13(1): 4-16 (Winter 2001). DOI: 10.35834/2001/1301004

Abstract

A Pythagorean Triple Preserving Matrix (PTPM) is a $3 \times 3$ matrix such that if it is multiplied by a Pythagorean Triple, the result is also a Pythagorean Triple. Necessary and sufficient conditions for a Pythagorean Triple Preserving Matrix to be symmetric are given. Monoids of Symmetric Pythagorean Triple Preserving Matrices (SPTPM) with positive integer entries will be developed, and to ensure that the set is closed under matrix multiplication, the focus will be on finding commutative SPTPM's.

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James T. Bruening. Tracy R. Lohmeier. Cheryl L. Sebaugh. "Symmetric Pythagorean Triple Preserving Matrices." Missouri J. Math. Sci. 13 (1) 4 - 16, Winter 2001. https://doi.org/10.35834/2001/1301004

Information

Published: Winter 2001
First available in Project Euclid: 5 October 2019

zbMATH: 1031.11013
MathSciNet: MR1816334
Digital Object Identifier: 10.35834/2001/1301004

Rights: Copyright © 2001 Central Missouri State University, Department of Mathematics and Computer Science

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Vol.13 • No. 1 • Winter 2001
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