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.
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页码：346 / 352
页数：7
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