Sum of two strictly n-zero matrices

被引：0

作者：

Gargate, Ivan G. ^{[1
]}

Saenz, Edgar A. ^{[1
]}

机构：

[1] UTFPR, Campus Pato Branco,Rua Via Conhecimento km 01, BR-85503390 Pato Branco, PR, Brazil

来源：

LINEAR & MULTILINEAR ALGEBRA | 2023年 / 71卷 / 15期

关键词：

Strictly n-zero matrices; nilpotent matrices; Jordan forms;

D O I：

10.1080/03081087.2022.2105786

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work we investigate when an n x n Jordan matrix can be written as the sum of two strictly n-zero matrices. In particular, we show that if F is an algebraically closed field of characteristic zero and A is an n x n matrix over F with tr(A) = 0, then A is the sum of two strictly n-zero matrices.

引用

页码：2474 / 2483

页数：10

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