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Stručni rad

On nilpotent matrices of order 2

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


Puni tekst: hrvatski pdf 249 Kb

str. 129-146

preuzimanja: 270

citiraj


Sažetak

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.

Ključne riječi

nilpotent matrix, commutator, Cayley–Hamilton theorem

Hrčak ID:

219566

URI

https://hrcak.srce.hr/219566

Podaci na drugim jezicima: hrvatski

Posjeta: 493 *