Hiya, I'm stuck on this question and would be really grateful if someone could help me out here...

Let

. Find all 2x2 matrices

such that AM = - MA. (Note that the solutions wanted should have equal (1,2)- and (2,1)- entries b.)

I tried evaluating the equation AM= -MA via matrix multiplication and making equations out of the corresponding entries but ended up with something that just seemed completely wrong AND didn't have equal (1,2)- and (2,1)- entries.

Please help! Thanks in advance,

rorosingsong.