用行初等变换化实对称矩阵为对角形

journal6 ›› 2001, Vol. 22 ›› Issue (4): 89-90.

用行初等变换化实对称矩阵为对角形

(吉首大学数学与计算机科学系, 湖南吉首 416000)

出版日期:2001-12-15 发布日期:2013-01-05
作者简介:李先明( 1963- ) ,男( 苗族) , 湖南省桑植县人,吉首大学数学与计算机科学系讲师,主要从事代数学研究.

Ways of Changing Real Symmetric Matrices Into Diagonal Matrices by Elementary Transformations to Lines

( Department of Mathematics and Computer Seience, Jishou University, Jishou 416000, Hunan China)

Online:2001-12-15 Published:2013-01-05

摘要/Abstract

摘要：给出了主要用行初等变换化实对称矩阵为对角形式的方法, 即先化实对称矩阵为上三角矩阵, 则三角矩阵主对角线上的元素所成对角矩阵为实对称矩阵的对角形.

关键词： 行初等变换, 实对称矩阵, 对角形矩阵

Abstract: A real symmetric matrix is changed into an upper triangular matrix, and the elements in the principal diagonal of the upper triangular matrix form a diagonal matrix which is correspondent to that of real symmetrix matrix.

Key words: elementary transformation to line, real symmetric matrix, diagonal matrix

李先明. 用行初等变换化实对称矩阵为对角形[J]. journal6, 2001, 22(4): 89-90.

LI Xian-Ming. Ways of Changing Real Symmetric Matrices Into Diagonal Matrices by Elementary Transformations to Lines[J]. journal6, 2001, 22(4): 89-90.