arXiv subjects

Mamta Amol Wagh

Publications and source records attributed to Mamta Amol Wagh.

2 recordsLinked to original sources

arXiv2025

Rank Of bicomplex matrices and system of algebraic equations

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.

math.RA↗

arXiv2024

On the Rank of a bicomplex matrix

The paper explores the concept of the rank of a bicomplex matrix, delving into four distinct types of ranks and investigating conditions under which these ranks are equivalent. It also defines and analyzes the concept of idempotent row space and idempotent column space of a bicomplex matrix. Some examples and counter examples have been presented to substantiate the study.

math.RA↗