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Bulletin of Pure and Applied Sciences- Math& Stat. (Started in 1982)
eISSN: 2320-3226
pISSN: 0970-6577
Impact Factor: 4.895 (2017)
DOI: 10.5958/2320-3226
Editor-in-Chief:  Prof. Dr. Lalit Mohan Upadhyaya
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Article Details

Bulletin of Pure and Applied Sciences- Math& Stat. (Started in 1982)
Year : 2020, Volume & Issue : BPAS-Maths & Stat 39E(1), JAN-JUN 2020
Page No. : 165-175, Article Type : Original Aticle
Article DOI : 10.5958/2320-3226.2020.00015.6 (Communicated, edited and typeset in Latex by Lalit Mohan Upadhyaya (Editor-in-Chief). Received April 18, 2019 / Revised March 07, 2020 / Accepted April 03, 2020. Online First Published on June 30, 2020)

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

P.L. Sharma1 , Arun Kumar2 and Shalini Gupta3
Author’s Affiliation : 1. Department of Mathematics and Statistics, Himachal Pradesh University, Shimla, Himachal Pradesh, India. 2. Department of Mathematics, Government Post Graduate College, Ghumarwin, Bilaspur, India. 3. Department of Mathematics, Bahra University, Solan, Himachal Pradesh, India. 1. E-mail: [email protected]

Corresponding Author : P.L. Sharma,
E-Mail:-[email protected]


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. 2020 Mathematics Subject Classification: 15A09, 20H30, 11T71.
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