Rank Of bicomplex matrices and system of algebraic equations
Rings and Algebras
2025-05-20 v1
Abstract
In this paper, we study the rank of matrices of bicomplex numbers. The relationship between rank, idempotent column rank and idempotent row rank is examined. Then, the solution of a system of equations in bicomplex space is presented using a new technique. Moreover, we establish a necessary and sufficient condition for the existence of solutions of a system of equations in bicomplex space and derive some related results.
Cite
@article{arxiv.2505.12295,
title = {Rank Of bicomplex matrices and system of algebraic equations},
author = {Amita Amita and Akhil Prakash and Mamta Amol Wagh and Suman Kumar},
journal= {arXiv preprint arXiv:2505.12295},
year = {2025}
}