1. The problem statement, all variables and given/known data If ATCT+(CA)T=B where: A=a c b a B = −34 44 −12 18 C = −3 −1 2 1 then what are the values of ab and c? (These are all two by two matrices, I don't know how to format them on here. The T's are transposes. 3. The attempt at a solution So I've tried a few times now with no success. As far as I'm aware ATCT+(CA)T=B is equivalent to 2ATCT, but I've tried doing them separately as well with no success. So I get it down to a bunch of a's and c's of b's to be equal to the B matrix. Then (I don't know if i'm actually allowed to do this) I match them with the corresponding values in the B matrix on the other side of the equation. This gives me a system of equations, which I change to an augmented matrix. I can then get it to RRE form, with the exception of a 4th row (only 3 variables?) which always ends up being something = 0, which throws me off. Any help/suggestions?