初等列变换与线性方程组的换元法求解  

Elementary Column Transformation and Solving Linear Equations by Substitution

作　　者：党兴菊[1] 张瑶[1] 吴文良[1] 

机构地区：[1]昭通学院物理与电子信息工程学院,云南昭通657000

出　　处：《昭通学院学报》2015年第5期18-21,共4页Journal of Zhaotong University

基　　金：云南省教育厅自然科学研究基金项目(2014Y506)

摘　　要：对线性方程组的增广矩阵作某些初等列变换,相当于对线性方程组用换元法求解.在对增广矩阵作两次互逆的初等列变换之间进行若干次初等行变换,并不改变增广矩阵所代表的线性方程组的同解性质.利用这一特点,可以灵活地运用初等列变换来求解线性方程组.When some elementary column operations are applied to the augmented matrix of a group of linear equations ,it carry the connotation of solving the group of linear equations by substitution .Between a pair of mutually inverse column operations ,some row column operations can be applied without change of the solution of the equations .Use this feature ,elementary column transformations can be applied for solving linear equations .

关 键 词：线性方程组 增广矩阵 初等列变换 换元法 

分 类 号：O151.2[理学—数学]