长除法理论在抽象矩阵求逆中的应用  

Application of Long Division Theory in Inverse of Abstract Matrix

作　　者：覃姜色 田献珍[1] Qin Jiangse;Tian Xianzhen(Lushan college,Guangxi University of science and technology,Liuzhou,Guangxi 545000)

机构地区：[1]广西科技大学鹿山学院,广西柳州545000

出　　处：《造纸装备及材料》2020年第3期233-234,共2页Papermaking Equipment & Materials

基　　金：广西科技大学鹿山学院校级项目“应用型院校线性代数课程基于案例式信息化教学研究”(2017JGY103)研究成果。

摘　　要：线性代数是大学数学课程中的基础科目,是应用最广泛的数学分支之一。而矩阵的逆是其内容的重要组成部分。文章根据多项式理论与性质结合长除法知识,给出了判断抽象矩阵是否可逆,若可逆如何求其逆矩阵的简单方法,该方法具有通用性和一般性。Linear algebra is a basic subject in college mathematics, and it is one of the most widely used branches of mathematics.The inverse of matrix is an important part of its content.According to the theory and properties of polynomials and the knowledge of long division, this paper gives a simple method to judge whether the abstract matrix is invertible and how to find its inverse matrix if it is invertible. This method has generality and generality.

关 键 词：矩阵的逆 抽象矩阵 长除法 多项式 

分 类 号：O151.21[理学—数学]