%0 Journal Article %T On nilpotent matrices of order 2 %A Raji£¿ %A Rajna %J - %D 2018 %X Sa£¿etak In this paper, we give several characterizations of complex nilpotent matrices of order 2, which are based on the Cayley¨CHamilton 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 %K nilpotent matrix %K commutator %K Cayley¨CHamilton theorem %U https://hrcak.srce.hr/index.php?show=clanak&id_clanak_jezik=320467