| 关于矩阵的等价与向量组的等价 |
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| 引用本文： | 曹青春,冯秀芹.关于矩阵的等价与向量组的等价[J].韶关学院学报,2008,29(12). |
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| 作者姓名： | 曹青春 冯秀芹 |
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| 作者单位： | 肇庆学院数学系,广东肇庆,526061 |
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| 基金项目： | 肇庆学院教学研究项目(021073) |
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| 摘 要： | 证明了数域F上的两个m×n矩阵A与B行(列)等价当且仅当它们的行(列)向量组等价.同时,还得到了一些有用的推论.
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| 关 键 词： | 矩阵 初等变换 等价 秩 |
On the equivalence of matrices and vector sets |
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| CAO Qing-chun,FENG Xiu-qin.On the equivalence of matrices and vector sets[J].Journal of Shaoguan University(Social Science Edition),2008,29(12). |
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| Authors: | CAO Qing-chun FENG Xiu-qin |
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| Affiliation: | (Department of Mathematics; Zhaoqing University; Zhaoqing 526061; Guangdong; China); |
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| Abstract: | In this paper,it is proved that two matrices and are equivalent relative to columns(rows)if and only if their column(rows)vector sets are equivalent.In addition,some interested corollaries are obtained. |
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| Keywords: | matrix elementary transformation equivalence rank |
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