The question is: Which of the following matrices, when substitued for T, satisfies the matrix equation $\displaystyle T\begin{bmatrix}-3 \\ 5\end{bmatrix}= \begin{bmatrix}5 \\ 3\end{bmatrix}$

I know that the answer is the matrix $\displaystyle \begin{bmatrix}0 & 1 \\ -1 & 0\end{bmatrix}$ but how do you obtain it without guessing/checking the other choices they had? I mean you can't divide both sides by T like any other equation, so I'm stuck..