A matrix identity and its applications

被引：1

作者：

Liao, Jun ^{[1
]}

Liu, Heguo ^{[1
]}

Shao, Minfeng ^{[1
]}

Xu, Xingzhong ^{[1
]}

机构：

[1] Hubei Univ, Sch Math & Stat, Wuhan 430062, Peoples R China

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2015年 / 471卷

基金：

中国国家自然科学基金;

关键词：

Characteristic polynomial; Minimal polynomial; Rational canonical form;

D O I：

10.1016/j.laa.2014.12.032

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We first prove a matrix identity concerning the blocks of generalized Jordan blocks and then give applications to some invariants of matrices. As a consequence, we reprove the well known fact that for an eigenvalue lambda, its algebraic multiplicity is greater than or equal to its geometric multiplicity. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：346 / 352

页数：7

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