On the Rank of a bicomplex matrix

2024/12/07 by Mamta Amol Wagh, Amita, Wagh, Mamta Amol +4 · 2 citations
Computer Science · Mathematics · Physics and Astronomy · #Matrix Theory and Algorithms #Advanced Optimization Algorithms Research #Advanced Mathematical Theories and Applications

paper · pdf · doi:10.48550/arxiv.2412.05682

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.

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• Idempotent & Nilpotent Operators and Matrices in Bicomplex Space
• Rank Of bicomplex matrices and system of algebraic equations

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