English

On the Rank of a bicomplex matrix

Rings and Algebras 2024-12-10 v1

Abstract

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.

Keywords

Cite

@article{arxiv.2412.05682,
  title  = {On the Rank of a bicomplex matrix},
  author = {Amita and Mamta Amol Wagh and Suman Kumar and Akhil Prakash},
  journal= {arXiv preprint arXiv:2412.05682},
  year   = {2024}
}