Open AccessCertain Results on Bicomplex Matrices
Author(s) -
Anjali Anjali,
Amita Amita
Publication year - 2018
Publication title -
global journal of science frontier research
Language(s) - English
Resource type - Journals
eISSN - 2249-4626
pISSN - 0975-5896
DOI - 10.34257/gjsfrfvol18is2pg7
Subject(s) - hermitian matrix , mathematics , inverse , matrix (chemical analysis) , square matrix , moore–penrose pseudoinverse , metric (unit) , algebra over a field , pure mathematics , symmetric matrix , physics , chemistry , eigenvalues and eigenvectors , geometry , operations management , chromatography , quantum mechanics , economics
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 definedsym metric and skew - symmetric matrices, Hermitian and Skew - Hermitian matrices in C2.