This question has confused me a bit.

Find nonzero 2x2 matrices A and B such that AB=0.

I've been just trying to find two 2x2 matrices who result in a 2x2 matrix with 0 at each position.

The answer I got is

A =

1 1

1 1

B=

1 1

-1-1

so AB =

0 0

0 0

I think that is correct, but the question ased for AB=0, does that mean a matrix with 0 in all positions?