| 线性方程组相容性定理的新证法 |
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| 引用本文： | 刘锋.线性方程组相容性定理的新证法[J].天津职业院校联合学报,2002,4(1):87-91. |
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| 作者姓名： | 刘锋 |
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| 作者单位： | 天津滨海职业学院,天津市,300450 |
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| 摘 要： | 线性方程组解的判定在线性代数教学中具有十分重要的作用，但线性方程组相容性定理的传统证明方法需要较多的理论准备，现研究以克莱姆法则和行列式为工具，仅借用矩阵的秩这一概念，给出线性方程组相容性定理一种新的证明方法。
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| 关 键 词： | 线性方程组 行列式 矩阵的秩 同解方程组 |
| 文章编号： | 1009-2498(2002)01-0087-05 |
| 修稿时间： | 2001年7月21日 |
A New Proof for the Consistency Principle of Linear Equation Group |
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| LIU Feng.A New Proof for the Consistency Principle of Linear Equation Group[J].Journal of Tianjin Vocational Institutes,2002,4(1):87-91. |
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| Authors: | LIU Feng |
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| Abstract: | Judging the state of solution of a linear equation group plays a very important role in the teaching of linear algebra, yet the traditional proof of the consistency principle of linear equation group needs much theoretical preparations. This paper gives a simpler proof for it only by using Gramer rule and deter- minant of coefficient as tools and the concept of the rank of matrix. |
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| Keywords: | linear equation group determinant rank of matrix linear equation groups of same solution |
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