Symmetric Integer Matrices Having Integer Eigenvalues

Authors

Lei Cao, Georgian Court UniversityFollow
Selcuk Koyuncu, University of North Georgia

Document Type

Article

Publication Date

10-16-2016

Publication Title

International Journal of Mathematics and Mathematical Sciences

ISSN

0161-1712

Volume

2016

Issue/No.

3471438

First Page

1

Last Page

7

Abstract

We provide characterization of symmetric integer matrices for rank at most 2 that have integer spectrum and give some constructions for such matrices of rank 3. We also make some connection between Hanlon’s conjecture and integer eigenvalue problem.

Comments

©2016 Lei Cao and Selcuk Koyuncu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

NSUWorks Citation

Cao, Lei and Koyuncu, Selcuk, "Symmetric Integer Matrices Having Integer Eigenvalues" (2016). Mathematics Faculty Articles. 269.
https://nsuworks.nova.edu/math_facarticles/269

ORCID ID

0000-0001-7613-7191

ResearcherID

G-7341-2019

DOI

10.1155/2016/3471438