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On Some Properties of Determinants of Bicomplex Matrices

https://doi.org/10.51514/JSTR.4.3.2022.20-31

Jogendra Kumar

ABSTRACT

In this paper, we have studied determinants of bicomplex matrices and investigated their properties. We have introduced bicomplex symmetric matrix, bicomplex skew-symmetric matrix, bicomplex idempotent matrix, bicomplex skew-idempotent matrix, bicomplex involutory matrix, bicomplex skew-involutory matrix, three types of Hermetian and skew-Hermetian matrix, bicomplex orthogonal matrix and three types of unitary matrix and investigated the properties of their determinants.

Keywords: Bicomplex matrix, determinant of bicomplex matrix, orthogonal matrix, unitary matrix.

Posted in Volume 4, Issue No. 3 (July-September 2022)

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