初等变换在解线性方程组教学过程中的应用探讨  

On the Application of Elementary Transformation in the Teaching of System of Linear Equations

作　　者：吴敬源 WU Jingyuan(Jilin University of Architecture and Technology,Changchun,Jilin Province,130000 China)

机构地区：[1]吉林建筑科技学院,吉林长春130000

出　　处：《科技资讯》2022年第14期188-191,共4页Science & Technology Information

摘　　要：该文对初等变换在解线性方程组教学过程中的应用进行探讨。运用增广矩阵、初等变换以及行阶梯形矩阵等知识求解线性方程组,列出线性方程组的增广矩阵,然后利用初等变换把增广矩阵变换成行阶梯形矩阵,进而变换成行最简矩阵,然后进行回代,进而求解线性方程组。其可以拓展学生对求解线性方程组方法的范围,便捷求解线性方程组的过程,提高学生的学习兴趣和效率。This paper makes a discussion on the application of elementary transformation in the teaching of system of linear equations.Use the knowledge of augmented matrix,elementary transformation and row stepped matrix to solve the linear equations,list the augmented matrix of the linear equations,and then use the elementary transformation to transform the augmented matrix into row stepped matrix,and then into row simplest matrix,and then replace it to solve the linear equations.It can expand the scope of students’methods for solving linear equations,facilitate the process of solving linear equations,and improve students’learning interest and efficiency.

关 键 词：矩阵 线性方程组 增广矩阵 初等变换 

分 类 号：G64[文化科学—高等教育学]