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On the Eigenstructures of Bicomplex K-potent Matrices

Year: 2025

Type: article

Abstract: In this paper we have studied Bicomplex k-Potent matrices satisfies the equation , where , is a positive integer, 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. AMS Subject Classification: 30G35, 32A30, 15A18.

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.15261415

Author: KUMAR, JOGENDRA

Language: English

Topic: Algebraic and Geometric Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W6930847780

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