Explicit identities of matrix powers of matrix

Kaluhath Karunatilaka Widanelage Anura Sarath Kumara

doi:10.30574/wjaets.2023.9.1.0139

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Explicit identities of matrix powers of matrix

Kaluhath Karunatilaka Widanelage Anura Sarath Kumara ^*

Department of Mathematics, University of Sri Jayewardenepura, Nugegoda, Sri Lanka.

Review Article

World Journal of Advanced Engineering Technology and Sciences, 2023, 09(01), 042–044.

Article DOI: 10.30574/wjaets.2023.9.1.0139

DOI url: https://doi.org/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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Kaluhath Karunatilaka Widanelage Anura Sarath Kumara. Explicit identities of matrix powers of matrix. World Journal of Advanced Engineering Technology and Sciences, 2023, 09(01), 042–044.Article DOI: https://doi.org/10.30574/wjaets.2023.9.1.0139