Professional paper

On nilpotent matrices of order 2

Rajna Rajić orcid.org/0000-0002-0143-5116 ; Rudarsko-geološko-naftni fakultet, Sveučilište u Zagrebu, Zagreb

Abstract

In this paper, we give several characterizations of complex nilpotent matrices of order 2, which are based on the Cayley–Hamilton theorem.
In terms of traces and determinants of matrices, we describe the conditions on \( A,B\in\mathbb{M}_2(\mathbb{C}) \) under which the commutator AB − BA is a nilpotent matrix.

Keywords

nilpotent matrix; commutator; Cayley–Hamilton theorem

Hrčak ID:

219566

URI

https://hrcak.srce.hr/219566

Publication date:

7.1.2019.

Article data in other languages: croatian

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