Certain Results on Bicomplex Matrices

Anjali Sharma; Amita Sharma

Certain Results on Bicomplex Matrices

Anjali Sharma * §

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Amita Sharma

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§ Institute of basic Science,Khandari, Dr. B.R. Ambedk...

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Abstract

This paper begins the study of bicomplex matrices. In this paper, we have defined bicomplex matrices, determinant of a bicomplex square matrix and singular and non-singular matrices in C 2 . We have proved that the set of all bicomplex square matrices of order n is an algebra. We have given some definitions and results regarding adjoint and inverse of a matrix in C 2 . We have defined three types of conjugates and three types of tranjugates of a bicomplex matrix. With the help of these conjugates and tranjugates, we have also defined symmetric and skew -symmetric matrices, Hermitian and Skew -Hermitian matrices in C 2 .

References

10 Cites in Article

Reference Format

D Rochon,M Shapiro (2004). On Algebraic Properties of Bicomplex and Hyperbolic Numbers.
M Futagawa (1928). On the theory of functions of a quaternary Variable.
M Futagawa (1932). On the theory of functions of a quaternary Variable, II.
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G Price (1991). An introduction to multicomplex spaces and Functions.
James Riley (1953). Contributions to the theory of functions of a bicomplex variable.
F Ringleb (1933). Beitrage Zur Funktionen theorie in Hyperkomplexon Systemen, I.
C Segre (1892). Le Rappresentazioni Reali Delle Forme Complesse e Gli enti Iperalgebrici.
Rajiv Srivastava (2003). Bicomplex Numbers: Analysis and applications.
Rajiv Srivastava (2008). Certain topological aspects of Bicomplex space.

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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Anjali Sharma, Amita Sharma. 2018. "Certain Results on Bicomplex Matrices". Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 18 (GJSFR Volume 18 Issue F2).

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GJSFR Volume 18 Issue F2

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

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Classification

Classification MSC : 15 B 57

30 G 35

Submission ReceivedDecember 29, 2017
Peer Review Double Blind
Handling Editor
Accepted January 22, 2018
Published February 4, 2018

Version of record

v1.2

Issue date

March 5, 2018

Language

English

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Article Matrices

Total Score: 146

Country: India

Subject: Global Journal of Science Frontier Research

Authors: Anjali Sharma, Amita Sharma (PhD/Dr. count: 0)

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Publish Date: 2018 02, Sun

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