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 \(m\leq 3\)...

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Bibliographic Details
Published inElectronic Journal of Applied Mathematics Vol. 2; no. 3; pp. 51 - 62
Main Author Zhao, Zehui
Format Journal Article
LanguageEnglish
Published 13.09.2024
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Summary: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 \(n\leq 3\).
ISSN:2980-2474
2980-2474
DOI:10.61383/ejam.20242383