Article
Analysis of the properties of matrix rank and the relationship between matrix rank and matrix operations
Authors
Abstract
This paper discusses the invariance of the rank of a matrix, the conditions and applications of matrix inequalities, the relationship between matrix rank and matrix operations, the relationship with matrix reversibility, the linear correlation with vector groups and the zero relationship of eigenvalue algebra multiples and other properties. The application of the rank of the matrix in linear algebra, analytic geometry, probability theory, etc. is obtained.
Keywords
matrix rank, matrix rank invariance, matrix rank inequality, matrix rank identity, linear equations, zero eigenvalue algebraic multiples, homogeneous linear equations, 15B99
Citation
Ma, J. (2021). Analysis of the properties of matrix rank and the relationship between matrix rank and matrix operations. Applied Mathematics and Nonlinear Sciences, 6(2), 103–114. https://doi.org/10.2478/amns.2021.2.00139
J. Ma, “Analysis of the properties of matrix rank and the relationship between matrix rank and matrix operations,” Applied Mathematics and Nonlinear Sciences, vol. 6, no. 2, pp. 103–114, 2021, doi: 10.2478/amns.2021.2.00139.
Ma J. Analysis of the properties of matrix rank and the relationship between matrix rank and matrix operations. Applied Mathematics and Nonlinear Sciences. 2021;6(2):103–114. doi:10.2478/amns.2021.2.00139.
Ma, J. (2021), ‘Analysis of the properties of matrix rank and the relationship between matrix rank and matrix operations’, Applied Mathematics and Nonlinear Sciences, 6(2), pp. 103–114. Available at: https://doi.org/10.2478/amns.2021.2.00139.
Ma, Jiying. “Analysis of the Properties of Matrix Rank and the Relationship Between Matrix Rank and Matrix Operations.” Applied Mathematics and Nonlinear Sciences, vol. 6, no. 2, 2021, pp. 103–114. https://doi.org/10.2478/amns.2021.2.00139.
Ma, Jiying. “Analysis of the Properties of Matrix Rank and the Relationship Between Matrix Rank and Matrix Operations.” Applied Mathematics and Nonlinear Sciences 6, no. 2 (2021): 103–114. https://doi.org/10.2478/amns.2021.2.00139.
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- DOI: 10.2478/amns.2021.2.00139
- Type: article
- Source: Applied Mathematics and Nonlinear Sciences
- Published: 2021-11-22
- OpenAlex ID: W4226062438
Published by: Engineering Journals
