Study of Left Rank-Preserving Complex Matrices

In this paper, we give the notions of left rank-preserving and right rank-preserving matrices and get three equivalent conditions of a left rank-preserving complex matrix. Furthermore, we obtain a kind of classification for the whole \(m\times n\) left rank-preserving complex matrices if \(m\leq 3\) or \(n\leq 3\).

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Publication Details

Journal
Electronic Journal of Applied Mathematics
Published
2024-09-13
DOI
https://doi.org/10.61383/ejam.20242383
Primary Topic
Matrix Theory and Algorithms
Type
article
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article

Study of Left Rank-Preserving Complex Matrices

Zehui Zhao
Electronic Journal of Applied Mathematics
Matrix Theory and Algorithms
article

Study of Left Rank-Preserving Complex Matrices

Zehui Zhao
article en

Abstract

In this paper, we give the notions of left rank-preserving and right rank-preserving matrices and get three equivalent conditions of a left rank-preserving complex matrix. Furthermore, we obtain a kind of classification for the whole \(m\times n\) left rank-preserving complex matrices if \(m\leq 3\) or \(n\leq 3\).

Electronic Journal of Applied MathematicsVol. 2(3)
Gannan Normal University (CN)
Openalex Percentile: Top 68%
Matrix Theory and Algorithms
DOIOpen Access PDFOpenAlex
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Study of Left Rank-Preserving Complex Matrices — Zehui Zhao · Electronic Journal of Applied Mathematics (2024) | TGRS Research Map | TGRS