Certain Results on Bicomplex Matrices

Anjali; Amita

doi:10.34257/GJSFRFVOL18IS2PG7

Authors

Anjali
Amita

bicomplex matrices, conjugates matrices, tranjugate matrices, hermitian matrices, skew hermitian matrices

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 .

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How to Cite

Certain Results on Bicomplex Matrices. (2018). Global Journal of Science Frontier Research, 18(F2), 7-26. https://doi.org/10.34257/GJSFRFVOL18IS2PG7

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