Could you please give me some tips, directions, on how to find all $3\times 3$ matrices$ X$, so that $AX=B$. The matrices $A$ and $B$ are given.
I've made a long way, multiplying $A$ with $x_{k}$: $\begin{align} Ax_{1} &= b_{1}\\ Ax_{2} &= b_{2}\\ Ax_{3} &= b_{3}\end{align} $ Solved them as matrices and got $X$ with all it $x_{k}$ (columns), but it appears, that it wrong. Because when I substitute $X$ I get another $B$ matrix (the last column is wrong).
Do I use wrong strategy? Or the strategy is right and the answer should be right? How can I find all $X$? What does it mean?
Please, help.
Best.