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
收藏
页码：2474 / 2483
页数：10
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