Singular matrices that are products of two idempotents or products of two nilpotents

Special Matrices

Călugăreanu Grigore¹ 

[1] Babeş-Bolyai University, Cluj-Napoca, Romania;

关键词: idempotent matrix;    nilpotent matrix;    quadratic diophantine equation;    2 × 2 matrix;    15b33;    15b99;    11d09;    11t99;   

DOI  :  10.1515/spma-2021-0146

来源: DOAJ

【 摘 要 】

Over commutative domains we characterize the singular 2 × 2 matrices which are products of two idempotents or products of two nilpotents. The relevant casees are the matrices with zero second row and the singular matrices with only nonzero entries.

【 授权许可】

Unknown