1. The problem statement, all variables and given/known data "Let T:M2,3→M3,2 be represented by T(A) = AT. Find the matrix for T relative to the standard bases for M2,3 and M3,2" 2. Relevant equations I let the transformation matrix be B. I know that BA = AT, so I need some matrix times A to equal A transpose. 3. The attempt at a solution I'm having problems just trying to figure out the size of B. If B is 3x2, then the resultant matrix would be 3x3, which wouldn't equal the size of AT. I've tried playing around with adding a row of zeros to the bottom of A, but then I can't figure out the contents of B. Quite frankly, I'm stumped.