| 行最简形矩阵的实质及其唯一性的新证明 |
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| 引用本文： | 王兴泉.行最简形矩阵的实质及其唯一性的新证明[J].河西学院学报,2010,26(5):31-34. |
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| 作者姓名： | 王兴泉 |
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| 作者单位： | 兰州交通大学数理与软件工程学院,甘肃,兰州,730070 |
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| 摘 要： | 本文引入优先(或第一)极大无关组概念,指出了用初等行变换将矩阵化成行最简形矩阵的实质,同时也证明了行最简形矩阵的唯一性.最后讨论了行最简形矩阵的应用.
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| 关 键 词： | 矩阵 初等行变换 行最简形 唯一性 极大无关组 线性方程组 |
The Essence of Row-simplest Form and A New Proof of Its Uniqueness |
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| Wang Xing-quan.The Essence of Row-simplest Form and A New Proof of Its Uniqueness[J].Journal of Hexi University,2010,26(5):31-34. |
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| Authors: | Wang Xing-quan |
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| Institution: | Wang Xing-quan (School of Mathematics,Physics and Software Engineering,Lanzhou Jiaotong University,Lanzhou 730070) |
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| Abstract: | In this paper,the essence of row-simplest form is firstly indicated based on a new concept of the maximal linearly independent vector group,the uniqueness of row-simplest form is then proved,and its applications are finally discussed. |
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| Keywords: | Matrix Elementary row transformation Row-simplest form Uniqueness Maximal linearly independent vector group Systems of linear equations |
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