探讨矩阵的秩在线性代数中的应用 |
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引用本文: | 巴桑卓玛. 探讨矩阵的秩在线性代数中的应用[J]. 西藏大学学报, 2010, 0(5): 104-107 |
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作者姓名: | 巴桑卓玛 |
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作者单位: | 西藏大学理学院,西藏拉萨850000 |
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摘 要: | 矩阵的秩是代数学的一个主要研究对象,也是应用数学研究中的一个重要工具。文章叙述了矩阵秩的几个等价定义,并且给出了几个相关秩的结论。通过例子来验证和探讨了矩阵秩在线性代数中的应用。
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关 键 词: | 矩阵的秩 线性方程组 向量 系数矩阵 |
Discussion on the Application of Matrix Rank on linear Algebra |
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Affiliation: | Basang Zhuoma (School of science, Tibet University, Lhasa 850000, Tibet) |
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Abstract: | Rank of matrix is one of the major objects in algebra study, and an important tool for the research on applied mathematics as well. The present paper describes the equivalent definitions of matrix rank and provides the conclusion related to matrix rank. The application of rank of matrix to linear algebra was validated and discussed by example. |
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Keywords: | matrix rank Linear Equations Vector Coefficient matrix |
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