| 域F上无关未定元的一个性质的初等证明 |
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| 引用本文： | 胡永建,唐金波.域F上无关未定元的一个性质的初等证明[J].工科数学,2014(3):57-58. |
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| 作者姓名： | 胡永建 唐金波 |
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| 作者单位： | 北京师范大学数学科学学院,北京100875 |
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| 摘 要： | 利用域F上n阶可逆矩阵总可以分解成有限多个n阶初等矩阵乘积的结论,给出域F上n个无关未定元的一个性质的初等证明.
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| 关 键 词： | 无关未定元 可逆矩阵 初等矩阵 |
An Elementary Proof of a Property of Independent Indeterminates Over a Field F |
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| HUYong-jian,TANG Jin-bo.An Elementary Proof of a Property of Independent Indeterminates Over a Field F[J].Journal of Mathematics For Technology,2014(3):57-58. |
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| Authors: | HUYong-jian TANG Jin-bo |
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| Institution: | (School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China) |
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| Abstract: | We give an elementary proof of a property of n independent indeterminates, by using the fact that each invertible matrix of order n can be formulated into a product of finite many elementary matrices of order n. |
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| Keywords: | independent indeterminates invertihle matrix~ elementary matrix |
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