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

Akhil Prakash; Prabhat Kumar

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

Akhil Prakash * §

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Prabhat Kumar

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§ Dr. B.R. Ambedkar University

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

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Abstract

In this paper, we have studied Orthogonal and Unitary matrix in C 2 , 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 C 2 and some properties in new system. A similar relation between two bicomplex matrices is also defined in this paper.

References

11 Cites in Article

Reference Format

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M Futagawa (1928). On the theory of functions of a quaternary variable.
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G Price (1991). An introduction to multiomplex space and functions.
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Friedrich Ringleb (1933). Beiträge zur funktionentheorie in hyperkomplexen Systemen I.
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Rajiv Srivastava (2003). Some Results on Bicomplex Numbers and Bicomplex Functions.
Rajiv Srivastava (2008). Certain topological aspects of the 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

Akhil Prakash, Prabhat Kumar. 2018. "Certain Study of Bicomplex Matrices and a New Composition of Bicomplex Matrices". Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 18 (GJSFR Volume 18 Issue F3).

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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

Keywords

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Classification

GJSFR-F Classification MSC 2010: 15 B 57

30 G 35

Submission ReceivedMarch 4, 2018
Peer Review Double Blind
Handling Editor
Accepted March 27, 2018
Published April 6, 2018

Version of record

v1.2

Issue date

April 23, 2018

Language

English

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Article Matrices

Total Score: 146

Country: India

Subject: Global Journal of Science Frontier Research

Authors: Prabhat Kumar, Akhil Prakash (PhD/Dr. count: 0)

View Count (all-time): 323

Total Views (Real + Logic): 660

Total Downloads (simulated): 28

Publish Date: 2018 04, Fri

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Total Views: 660

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