| 再论初等变换法求解线性方程组 |
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| 引用本文： | 段文英,张春蕊.再论初等变换法求解线性方程组[J].东北林业大学学报,1991,19(6):86-90. |
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| 作者姓名： | 段文英 张春蕊 |
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| 作者单位： | 东北林业大学
(段文英)，东北林业大学(张春蕊) |
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| 摘 要： | 现有的关于线性方程组的解法,都是基于对系数阵或增广阵施行初等“行”变换。本文是对系数阵或增广阵同时施行“行”和“列”的初等变换,并由相应的结果直接得到基础解系和非齐次线性方程组的特解。
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| 关 键 词： | 初等变换 线性方程组 矩阵 秩 |
USING THE ELEMENTARY OPERATION TO SOLVE THE SYSTEM OF LINEAR EQUATIONS |
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| Duan Wenying Zhang Chunrui.USING THE ELEMENTARY OPERATION TO SOLVE THE SYSTEM OF LINEAR EQUATIONS[J].Journal of Northeast Forestry University,1991,19(6):86-90. |
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| Authors: | Duan Wenying Zhang Chunrui |
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| Institution: | Northeast Forestry University |
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| Abstract: | The old methods about solving a system of linear equations all base on using the row's elementary operation to matrix of coefficients or augmented matrix. In this paper, we give a new method. We not only use the elementary operation to rows but also to columns. In this process we can easily get the system of elementary solutions and a special solution of nonhomogeneous equations. |
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| Keywords: | Elementary operation Rank of matrix System of linear equations |
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