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

P L Sharma; Arun Kumar; Shalini  Gupta

doi:10.48165/

Authors

P L Sharma Department of Mathematics and Statistics, Himachal Pradesh University, Shimla, Himachal Pradesh, India.
Arun Kumar Department of Mathematics, Government Post Graduate College, Ghumarwin, Bilaspur, India.
Shalini Gupta Department of Mathematics, Bahra University, Solan, Himachal Pradesh, India

DOI:

https://doi.org/10.48165/

Keywords:

Rhotrix, trace of a rhotrix, determinant, circulant rhotrix

Abstract

he traces of powers of matrices frequently arise in several fields of math ematics. 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.

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