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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Published in | Electronic Journal of Applied Mathematics Vol. 2; no. 3; pp. 51 - 62 |
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Main Author | |
Format | Journal Article |
Language | English |
Published |
13.09.2024
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Online Access | Get full text |
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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 \(n\leq 3\). |
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ISSN: | 2980-2474 2980-2474 |
DOI: | 10.61383/ejam.20242383 |