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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.
Supplementary materials
Title
On Some Properties of Bicomplex Numbers •Conjugates •Inverse •Modulii
Description
We have done some work on Bicomplex numbers. Some glimpses of the work can be seen in these papers [6, 7, 8, 9, 10, 11, 12, 13, 14]. In the present paper an attempt has been made to discuss and establish extensive algebraic properties of Bicomplex Numbers. Properties of three types of conjugation of Bicomplex Numbers have been determined and established some relation between them. Invertible and Non – invertible Bicomplex numbers have been investigated and findings are discussed. Properties of Modulii of Bicomplex numbers have been shown along with some relation between them.
(Keywords: Conjugation of Bicomplex Numbers, Invertible and Non – invertible Bicomplex numbers, Modulii of Bicomplex Number)
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Title
Conjugation of Bicomplex Matrix
Description
In this Paper We have studied Bicomplex Matrix. Three types of Bicomplex Hermitian and Skew- Hermitian are itroduced and obtained some results.
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Supplementary weblinks
Title
On Some Properties of Bicomplex Numbers •Conjugates •Inverse •Modulii
Description
We have done some work on Bicomplex numbers. Some glimpses of the work can be seen in these papers [6, 7, 8, 9, 10, 11, 12, 13, 14]. In the present paper an attempt has been made to discuss and establish extensive algebraic properties of Bicomplex Numbers. Properties of three types of conjugation of Bicomplex Numbers have been determined and established some relation between them. Invertible and Non – invertible Bicomplex numbers have been investigated and findings are discussed. Properties of Modulii of Bicomplex numbers have been shown along with some relation between them.
(Keywords: Conjugation of Bicomplex Numbers, Invertible and Non – invertible Bicomplex numbers, Modulii of Bicomplex Number)
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