| 齐次线性方程组的一种简捷的公式化解法 |
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| 引用本文： | 梁汉光. 齐次线性方程组的一种简捷的公式化解法[J]. 广西民族大学学报, 2004, 0(Z1): 31-34 |
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| 作者姓名： | 梁汉光 |
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| 作者单位： | 梁汉光（广西民族学院,预科部,广西,南宁,530006） |
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| 摘 要： | n元齐次线性方程组当其矩阵的秩小于n时有非零解.要求出这个非零解,通常是将矩阵进行初等变换而得到.但对矩阵的秩是一个n-1的方程组,却有一个和克莱姆法则一样的简捷的公式化解法.这一解法对三元齐次线性方程组来说特别方便.
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| 关 键 词： | 齐次线性方程组 矩阵的秩 非零解 |
| 文章编号： | 1007-0311(2004)ZJ01-0031-04 |
| 修稿时间： | 2004-10-08 |
A simple formulated solution of homogeneous linear equations |
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| LIANG Han-guang. A simple formulated solution of homogeneous linear equations[J]. Journal of Guangxi University For Nationalities, 2004, 0(Z1): 31-34 |
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| Authors: | LIANG Han-guang |
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| Abstract: | Homogeneous linear equations of n-variables have the non-zero solutions when the rank of its matrix is less than n. To get this solution, the matrix can be proceeding elementary operation. But to the equation whose rank of matrix is n-1, there is a formulated solution as simple as the Cramer Law. This solution is very convenience for the homogeneous linear equations of 3-variables. |
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| Keywords: | homogeneous linear equations rank of matrix non-zero solution |
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