摘要
矩阵求逆是矩阵代数中的一个重要运算,逆矩阵的获得却困难重重.文中介绍一个三对角形矩阵求逆的新思路,它可以作为求解逆矩阵问题的一个“解题模块”,学习线性代数课程的一个“认知结构”,也可以作为教育数学的一个案例.
Inverse of matrices is an important operation in matrices algebra.In general it is difficult to get the inversion.A new idea to the calculation of inverse of a tridiagonal matrix is introduced in this paper.It can be regarded as a problem solving model of the inverse of the tridiagonal matrix,or as a knowledge structure in linear algebra curriculum,also as a special teaching case in educational mathematics.
作者
陈建华
焦荣政
CHEN Jian-hua;JIAO Rong-zheng(College of Mathematics,Yangzhou University,Yangzhou Jiangsu 225002,China)
出处
《大学数学》
2020年第1期104-109,共6页
College Mathematics
基金
江苏省高校品牌专业建设工程资助项目(PPZY2015B109)
扬州大学教材基金项目。
关键词
矩阵
逆矩阵
初等行变换
和分解
matrix
inverse matrix
elementary row transformation
sum decomposition
