I know it's a very simple one but still worth it, say we have 3 real matrices 3x3, $A,B,C$, what is $(A^{-1}BC^T)^T$?
Is it $(A^{-1})^T B^T C$? Or since it is transpose we have to change the order of the product is it $CB^T (A^{-1})^T$, I'm quite confused