Explicit identities of matrix powers of matrix

Kaluhath Karunatilaka Widanelage Anura Sarath Kumara *

Department of Mathematics, University of Sri Jayewardenepura, Nugegoda, Sri Lanka.
 
Review
World Journal of Advanced Engineering Technology and Sciences, 2023, 09(01), 042–044.
Article DOI: 10.30574/wjaets.2023.9.1.0139
Publication history: 
Received on 01 April 2023; revised on 08 May 2023; accepted on 11 May 2023
 
Abstract: 
In this paper, we present some new explicit identities of matrix powers of matrix and their proofs. For instance, AC+D=AC +ADand(AB)T=ABTfor some matrices A‚B and C.
 
Keywords: 
Principal matrix power; Matrix exponential; Matrix logarithm; Matrix power of matrix
 
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Copyright information: 
Copyright © 2023 Author(s) retain the copyright of this article. This article is published under the terms of the Creative Commons Attribution Liscense 4.0