用行初等变换化实对称矩阵为对角形

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

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 .

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.