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

Authors

  • Akhil Prakash

  • Prabhat Kumar

orthogonal bicomplex matrix, unitary bicomplex matrices, algebraic structure in new system, tranjugate matrix, inverse

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.

Downloads

How to Cite

Certain Study of Bicomplex Matrices and a New Composition of Bicomplex Matrices. (2018). Global Journal of Science Frontier Research, 18(F3), 55-78. https://doi.org/10.34257/GJSFRFVOL18IS3PG55

References

Anjali Anjali, Amita Amita (2011) Certain Results on Bicomplex Matrices. 7-26.

M Futagawa (1928) On the theory of functions of a quaternary variable. 29, 175-222.

M Futagawa (1932) On the theory of functions of a quaternary variable, II. 35, 69-120.

Avnish Kumar, Monika Asthana, Poonam Gupta, Shweta Yadav, Deepti Sharma, Km. Singh, Sunil Kumar (2010) 16SrRNA sequencing of dye decolorizing bacteria isolated from soil. 11(1), 1-5.

S Lipschutz, M Lipson (2005) Schaum ' s Outline theory and problem of linear algebra.

G Price (1991) An introduction to multiomplex space and functions.

James Riley (1953) Contributions to the theory of functions of a bicomplex variable. 5(2), 132-165.

Friedrich Ringleb (1933) Beiträge zur funktionentheorie in hyperkomplexen Systemen I. 57(1), 311-340.

Corrado Segre (1892) Le rappresentazioni reali delle forme complesse e gli enti iperalgebrici. 40(3), 413-467.

Rajiv Srivastava (2003) Some Results on Bicomplex Numbers and Bicomplex Functions. 72(1-4), 69-87.

Rajiv Srivastava (2008) Certain topological aspects of the Bicomplex space. 2(2), 222-234.

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

Published

2018-04-23

How to Cite

Certain Study of Bicomplex Matrices and a New Composition of Bicomplex Matrices. (2018). Global Journal of Science Frontier Research, 18(F3), 55-78. https://doi.org/10.34257/GJSFRFVOL18IS3PG55