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线性方程组的解法
引用本文:杨士俊. 线性方程组的解法[J]. 杭州师范学院学报(社会科学版), 1994, 0(3)
作者姓名:杨士俊
摘    要:本文提出一种利用初等变换解线性方程组的方法,该方法的优点是简便实用;特别是对于非齐次线性方程组,它是否有解的判断及有解时的所有解可以一次性完成.

关 键 词:线性方程组,相容行,初等变换,基础解矩阵

A METHOD FOR SOLVING LINEAR EQUATIONS
Yang Shijun. A METHOD FOR SOLVING LINEAR EQUATIONS[J]. Journal of Hangzhou Teachers College(Humanities and Social Sciences), 1994, 0(3)
Authors:Yang Shijun
Affiliation:Department of Mathematics
Abstract:Instead of the classical method to solve linear equations. we give a simple method in this paper. If the coefficient matrix A of linear equations Ax=0 is reduced to then the basic solution matrix of Ax=0 is or its row-exchanged form. The basic solution matrix of Ax=b can be constructed in a similar way, i. e. if (A. b) is reduced to , then linear equations Ax=b has a basic solution main, row-exchanged form.
Keywords:linear equtions   compatible row. elementary operations   basic solution matrix.
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