Question

Use trial and error to find 2 by 2 examples of
-Matrices A and B with AB = −BA but AB not equal to 0

Answer 1

This is a trial and error problem.
So you just need to plug in numbers. For easy calculations I would only use 0,1,-1

Answer 2

Try this for example \[\left[\begin{matrix}1 & 0 \\ 1 &1\end{matrix}\right]\]

Answer 3

The above is A
And for B:
\[\left[\begin{matrix}1 & -1 \\ 0 & 1\end{matrix}\right]\]

Answer 4

ok i think i know how to do it
much appreciate