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

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Akhil Prakash
Akhil Prakash
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Prabhat Kumar
Prabhat Kumar

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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
  1. Anjali Anjali,Amita Amita (2011). Certain Results on Bicomplex Matrices.
  2. M Futagawa (1928). On the theory of functions of a quaternary variable.
  3. M Futagawa (1932). On the theory of functions of a quaternary variable, II.
  4. Avnish Kumar,Monika Asthana,Poonam Gupta,Shweta Yadav,Deepti Sharma,Km. Singh,Sunil Kumar (2010). 16SrRNA sequencing of dye decolorizing bacteria isolated from soil.
  5. S Lipschutz,M Lipson (2005). Schaum ' s Outline theory and problem of linear algebra.
  6. G Price (1991). An introduction to multiomplex space and functions.
  7. James Riley (1953). Contributions to the theory of functions of a bicomplex variable.
  8. Friedrich Ringleb (1933). Beiträge zur funktionentheorie in hyperkomplexen Systemen I.
  9. Corrado Segre (1892). Le rappresentazioni reali delle forme complesse e gli enti iperalgebrici.
  10. Rajiv Srivastava (2003). Some Results on Bicomplex Numbers and Bicomplex Functions.
  11. Rajiv Srivastava (2008). Certain topological aspects of the Bicomplex space.

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. 2018. \u201cCertain Study of Bicomplex Matrices and a New Composition of Bicomplex Matrices\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 18 (GJSFR Volume 18 Issue F3): .

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Issue Cover
GJSFR Volume 18 Issue F3
Pg. 55- 78
Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords
Classification
GJSFR-F Classification: MSC 2010: 15 B 57, 30 G 35
Version of record

v1.2

Issue date

April 23, 2018

Language
en
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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.

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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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