利用矩阵初等变换求线性方程组的解  

Linear Equations Solution Using Matrix Elementary Transformation

作　　者：郑庆云[1] 宋一杰[1] 杨晓叶[1] 

机构地区：[1]天津大学仁爱学院,天津301636

出　　处：《阴山学刊（自然科学版）》2017年第1期23-26,共4页Yinshan Academic Journal(Natural Science Edition)

摘　　要：自从1858年Cayley建立矩阵的运算以来,矩阵论便迅速发展起来,矩阵的初等变换在矩阵论中起着特别重要的作用,作为理论工具贯穿线性代数的始终,在解决问题时具有步骤简单、运算量小、易于掌握等优点.本文主要介绍了利用矩阵初等变换求解线性方程组的简便方法.Since 1858 Cayley established matrix operations,matrix theory has developed rapidly,the elementary transformation of matrix in matrix theory plays a particularly important role,as a theoretical tool through linear algebra,to solve the problem with simple steps,with a small amount of computation,easy to master,etc. This paper mainly introduces the simple method of solving linear equations by using matrix elementary transformation.

关 键 词：线性方程组 行初等变换 列初等变换 通解 

分 类 号：G642.4[文化科学—高等教育学]