Numerical Range of Strictly Triangular Matrices over Finite Fields

Authors

  • Ariel Russell Taylor University

DOI:

https://doi.org/10.33043/5zG2NHVHVG

Abstract

In this paper we investigate the numerical range of 3×3 matrices over finite fields, particularly when the matrix is strictly triangular. We provide a conjecture for this case that extends to n×n matrices for n ≥ 3 and also provide sample code for generating the numerical range.

Author Biography

Ariel Russell, Taylor University

Ariel Russell produced this work during her time as an undergraduate student at Taylor University. She graduated in 2021 with a B.S. in Mathematics and a B.A. in Computer Science. She now enjoys teaching high school math and programming in Colorado Springs, CO.

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Published

2026-03-03

How to Cite

Russell, A. (2026). Numerical Range of Strictly Triangular Matrices over Finite Fields. Mathematics Exchange, 16(1), 104–120. https://doi.org/10.33043/5zG2NHVHVG

Issue

Vol. 16 No. 1 (2022): Mathematics Exchange, Fall 2022

Section

Articles

License

Copyright (c) 2026 Ariel Russell

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.