Certain Results on Bicomplex Matrices

Certain Results on Bicomplex Matrices

Anjali Sharma

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Amita Sharma

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α Dr. Bhim Rao Ambedkar University

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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.
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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

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No ethics committee approval was required for this article type.

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Not applicable for this article.

How to Cite This Article

Anjali Sharma. 2018. \u201cCertain Results on Bicomplex Matrices\u201d. 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
Pg. 7- 26

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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

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v1.2

Issue date

March 5, 2018

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Article Matrices

Total Score: 102

Country: India

Subject: Global Journal of Science Frontier Research - F: Mathematics & Decision

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

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Total Downloads (simulated): 1673

Publish Date: 2018 03, Mon

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Total Views: 3203

Total Downloads: 1673

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