两个对称矩阵一齐合同对角化的充要条件

The Sufficient and Necessary Condition for Simultaneously Congruent Diagonalization of Two Symmetric Matrices

给出了特征不等于2的域F上两个n级对称矩阵一齐合同对角化的充分必要条件;证明了秩为1的两个2级对称矩阵一定可以一齐合同对角化。

This paper gives the sufficient and necessary condition for simultaneously congruent diagonalization of two nxn symmetric matrices over the field F whose characteristic isn＇t equal to 2 and proves that two 2×2 symmetric matrices with rank 1 can be simultaneously congruent diagonalizable.