A simple proof of the Craig-Sakamoto theorem

被引：14

作者：

Li, CK ^{[1
]}

机构：

[1] Coll William & Mary, Dept Math, Williamsburg, VA 23187 USA

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2000年 / 321卷 / 1-3期

基金：

美国国家科学基金会;

关键词：

eigenvalues; symmetric matrices;

D O I：

10.1016/S0024-3795(99)00095-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give a simple proof of the Craig-Sakamoto theorem, which asserts that two real symmetric matrices A and B satisfy det(I - aA - bB) = det(I - aA) det(I - bB) for all real numbers a and b if and only if AB = 0. (C) 2000 Elsevier Science Inc. All rights reserved.

引用

页码：281 / 283

页数：3

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