Bulletin of Pure and Applied Sciences Section - E - Mathematics & Statistics
  • Year: 2020
  • Volume: 39e
  • Issue: 1

Trace of the positive integral powers of three and five dimensional rhotrices*

  • Author:
  • P.L. Sharma1,†, Arun Kumar2, Shalini Gupta3
  • Total Page Count: 11
  • Published Online: Jun 1, 2020
  • Page Number: 165 to 175

1Research Scholar, Department of Mathematics and Statistics, Himachal Pradesh University, Shimla, Himachal Pradesh, India

2Department of Mathematics, Government Post Graduate College, Ghumarwin, Bilaspur, India

3Department of Mathematics, Bahra University, Solan, Himachal Pradesh, India

†Corresponding author P.L. Sharma, E-mail: plsharma1964@gmail.com

Online published on 14 August, 2020.

Abstract

The traces of powers of matrices frequently arise in several fields of mathematics. Rhotrices are a new paradigm of matrices which are represented as coupled matrices. The main aim of this paper is to find the trace of positive integral powers of three and five dimensional rhotrices. Further, the trace of positive integral powers of special type of circulant rhotrix is also discussed.

Keywords

Rhotrix, trace of a rhotrix, determinant, circulant rhotrix, 15A09, 20H30, 11T71