Certain Study of Bicomplex Matrices and a New Composition of Bicomplex Matrices

Article ID

ZRB40

Certain Study of Bicomplex Matrices and a New Composition of Bicomplex Matrices

Prabhat Kumar
Prabhat Kumar
Akhil Prakash
Akhil Prakash
DOI

Abstract

In this paper, we have studied Orthogonal and Unitary matrix in C2, some theorems and properties related to bicomplex matrix. We have defined the new concept over the bicomplex matrix, relation between bicomplex matrix and its complex component matrix, algebraic structure of bicomplex matrix in new system as well as the new definition of inverse of matrix in C2 and some properties in new system. A similar relation between two bicomplex matrices is also defined in this paper.

Certain Study of Bicomplex Matrices and a New Composition of Bicomplex Matrices

In this paper, we have studied Orthogonal and Unitary matrix in C2, some theorems and properties related to bicomplex matrix. We have defined the new concept over the bicomplex matrix, relation between bicomplex matrix and its complex component matrix, algebraic structure of bicomplex matrix in new system as well as the new definition of inverse of matrix in C2 and some properties in new system. A similar relation between two bicomplex matrices is also defined in this paper.

Prabhat Kumar
Prabhat Kumar
Akhil Prakash
Akhil Prakash

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Akhil Prakash. 2018. “. Global Journal of Science Frontier Research – F: Mathematics & Decision GJSFR-F Volume 18 (GJSFR Volume 18 Issue F3): .

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Issue Cover
GJSFR Volume 18 Issue F3
Pg. 55- 78
Classification
GJSFR-F Classification: MSC 2010: 15 B 57, 30 G 35
Keywords
Article Matrices
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Certain Study of Bicomplex Matrices and a New Composition of Bicomplex Matrices

Prabhat Kumar
Prabhat Kumar
Akhil Prakash
Akhil Prakash

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