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ON THE EIGENSTRUCTURES OF BICOMPLEX K-POTENT MATRICES

18 April 2025, Version 1
Working Paper
This content is an early or alternative research output and has not been peer-reviewed by Cambridge University Press at the time of posting.

Abstract

In this paper we have studied Bicomplex k-Potent matrices satisfies the equation A^k=αI+βA, where A∈C_2^(n×n), k is a positive integer, α and β are real numbers. This class of Bicomplex matrices includes Idempotent, Involutory, Nilpotent, Periodic, Skew-periodic, Generalized Involutory, Generalized Skew-Involutory and many more. We have investigated the Eigenstructure of Bicomplex k-Potent matrices and their diagonalizability.

Keywords

Bicomplex Matrix
Idempotent Matrix
Nilpotent Matrix
Involutory Matrix
Periodic Matrix
Skew-Periodic Matrix
Unipotent Matrix
Eigenvalue
Diagonalizable Matrix.

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Version History

Apr 18, 2025 Version 1

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The content is available under CC BY 4.0 [opens in a new tab]

DOI

10.33774/coe-2025-dgj43
D O I: 10.33774/coe-2025-dgj43 [opens in a new tab]

Author’s competing interest statement

The author(s) have declared they have no conflict of interest with regard to this content

Ethics

The author(s) have declared ethics committee/IRB approval is not relevant to this content

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