任意初等行列混合变换求化实对称矩阵为对角矩阵的正交矩阵  

Solving orthogonal matrix by elementary row and column transformations

作　　者：冯林安 戴亮[1] FENG Lin-an;DAI Liang(College of Mathematice and Information Science,Guiyang University,Guizhou Guiyang 550005,China)

机构地区：[1]贵阳学院数学与信息科学学院,贵州贵阳550005

出　　处：《贵阳学院学报（自然科学版）》2017年第4期10-14,共5页Journal of Guiyang University：Natural Sciences

摘　　要：本文介绍了利用任意初等行列混合变换求齐次线性方程组的基础解系、求规范正交基,求正交矩阵T使得T-1AT为对角矩阵的方法,该方法具有一般性。In this article,we introduced the basic solution system of homogeneous linear equations by using the mixed transformation of any elementary rank and column,obtain the orthonormal basis and the orthonormal matrix.Finding the orthogonal matrix T makes T-1 AT is the method of diagonal maxtrix,and the method is general.

关 键 词：基础解系 正交矩阵 初等行变换 初等列变换 规范正交基 

分 类 号：O151.21[理学—数学]