Certain Results on Bicomplex Matrices
DOI:
https://doi.org/10.34257/GJSFRFVOL18IS2PG7Keywords:
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 C2. 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 C2. 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 C2.
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Published
2018-01-15
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