| 矩阵初等列变换定理及其应用 |
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| 引用本文： | 高兴慧,马乐荣,冯彩. 矩阵初等列变换定理及其应用[J]. 江西科学, 2008, 26(5): 679-682 |
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| 作者姓名： | 高兴慧 马乐荣 冯彩 |
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| 作者单位： | 延安大学数学与计算机科学学院,陕西,延安,716000;延安大学数学与计算机科学学院,陕西,延安,716000;延安大学数学与计算机科学学院,陕西,延安,716000 |
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| 基金项目： | 延安大学校科研和教改项目 |
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| 摘 要： | 给出并证明了初等列变换定理及其推论，同时讨论了该定理在高等代数中的重要应用。
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| 关 键 词： | 初等列变换 线性相关性 极大线性无关组 向量组的等价 |
The Elementary Column Transformation Theorem of Matrix and Its Application |
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| GAO Xing-hui,MA Le-rong,FENG Cai. The Elementary Column Transformation Theorem of Matrix and Its Application[J]. Jiangxi Science, 2008, 26(5): 679-682 |
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| Authors: | GAO Xing-hui MA Le-rong FENG Cai |
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| Affiliation: | ( College of Mathematics and Computer Science, Ya＇nan University, Shanxi Yan＇an 716000 PRC) |
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| Abstract: | The elementary column transformation theorem was researched and proved in this paper.Further more,several important applications of the theorem were discussed in the advanced algebra. |
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| Keywords: | Elementary column transformation Linear dependence Maximal linear independent group Equivalent of vector group |
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