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DIAGONALIZATION OF THE BICOMPLEX MATRIX

01 November 2022, 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This content is an early or alternative research output and has not been peer-reviewed by Cambridge University Press at the time of posting.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 and investigated the properties of bicomplex matrices. On invertible and non-invertible bicomplex matrices, we have obtained certain results. The bicomplex matrix’s eigenvalues, eigenvectors and spectrum are also introduced. For bicomplex matrices, the Cayley-Hamilton theorem has been investigated. Furthermore, we discussed the Diagonalizable Bicomplex matrix along with certain results.

Keywords

Bicomplex Matrix
Cayley-Hamilton theorem
Eigenvalue
Eigenvector
Spectrum
Diagonalizable Matrix

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Version History

Nov 01, 2022 Version 1

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

DOI

10.33774/coe-2022-3nvn4
D O I: 10.33774/coe-2022-3nvn4 [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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