Powers of a matrix and combinatorial identities

Authors

James McLaughlin, West Chester University of PennsylvaniaFollow
B. Sury, Indian Statistical Institute

Document Type

Article

Publication Date

2005

Abstract

In this article we obtain a general polynomial identity in k variables, where k ≥ 2 is an arbitrary positive integer. We use this identity to give a closed-form expression for the entries of the powers of a k × k matrix. Finally, we use these results to derive various combinatorial identities.

Publication Title

INTEGERS: The Electronic Journal of Combinatorial Number Theory

ISSN

1553-1732

Publisher

Colgate University, Charles University, and DIMATIA

Volume

5

Issue

A13

First Page

1

Last Page

9

Comments

Preprint version is available here.

Recommended Citation

McLaughlin, J., & Sury, B. (2005). Powers of a matrix and combinatorial identities. INTEGERS: The Electronic Journal of Combinatorial Number Theory, 5(A13), 1-9. Retrieved from https://digitalcommons.wcupa.edu/math_facpub/66