矩阵论教学过程中的逆矩阵解法探讨  

Discussion on inverse matrix solution in the teaching process of matrix theory

作　　者：王俊伟 杨俊玲 刘丽秋 Wang Junwei;Yang Junling;Liu Liqiu(Hetao University,College of Mechanical and Electrical Engineering,Bayannaoer Inner Mongolia Autonomous Region 015000)

机构地区：[1]河套学院机电工程系,内蒙古巴彦淖尔015000

出　　处：《科技风》2021年第8期58-59,共2页

基　　金：应用型课程建设研究—以河套学院为例,项目编号:HTXYZX17008。

摘　　要：矩阵论课程以线性代数课程为基础,是控制科学与工程学科等研究生做基础应用研究的必修课程,课程内容比较抽象和难以理解,尤其是对于求解线性方程时,求逆矩阵时遇到很多问题且容易出错。文章以求解逆矩阵的初等变换法和三角分解法两种解法为背景,在本科生和研究生的教学中通过介绍两种求逆矩阵的不同解法,达到拓展学生的解题思路和提高课堂教学的效果。and difficult to understand,especially for solving linear equations,there are many problems in solving inverse matrix and it is easy to make mistakes.Based on the background of the elementary transformation method and the trigonometric decomposition method to solve the inverse matrix,this paper introduces two different solutions of solving inverse matrix in the teaching of undergraduate and graduate students,so as to expand students'thinking of solving problems and improve the effect of classroom teaching.

关 键 词：研究生 线性方程 逆矩阵 初等变换法 三角分解 教学效果 

分 类 号：G63[文化科学—教育学]