Skoči na glavni sadržaj

#### Osječki matematički list, Vol. 18 No. 2, 2018.

On nilpotent matrices of order 2

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

Puni tekst:

str. 129-146

preuzimanja: 334

###### 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.

219566

###### URI

Podaci na drugim jezicima: hrvatski

Posjeta: 652 *