Research Article

On Pythagorean Triple Preserving Matrices That Contain Fibonacci Numbers

Published: 2023-11

Journal: The Fibonacci Quarterly

DOI: 10.1080/00150517.2023.12427387

Abstract

AbstractIn this paper, we show how to use Pythagorean triples whose entries can be expressed using Fibonacci numbers to construct Pythagorean triple preserving matrices with entries that can also be expressed using Fibonacci numbers. We conclude with another Pythagorean triple preserving matrix whose powers contain Fibonacci numbers.

Faculty Members

  • Jathan Austin - Department of Mathematical Sciences, Salisbury University, Salisbury, Maryland, 21801 Email address:

Themes

  • Pythagorean triples
  • Fibonacci numbers
  • Mathematical relationships
  • Matrix construction

Categories

Download Article