This website contains problems from math contests. Problems and corresponding tags were obtained from the Art of Problem Solving website.

Tags were heavily modified to better represent problems.

AND:
OR:
NO:

Found problems: 1

2012 Grigore Moisil Intercounty, 3

Find for which natural numbers $ n\ge 2 $ there exist two real matrices $ A,B $ of order $ n $ that satisy the property: $$ (AB)^2=0\neq (BA)^2 $$ [i]Dan Bărbosu[/i]