I've often seen questions regarding how to find matrix $x$ in $Ax = B$, but almost all of these include $x$ as a $3\times 1$ matrix. 
I'm trying to solve this question:

> 
> Find a matrix x that satisfies the following equation: $x ⋅
> \begin{bmatrix}2 \\ 0 \\2\end{bmatrix} = \begin{bmatrix}2 \\ 0.5 \\ 1.5\end{bmatrix}$
> 
> 
> 

So my thought was that x is supposed to be a $3\times 3$ matrix, otherwise you won't get $B$. I am however at a loss on how to solve the equation for such a matrix.

I tried writing this as a system of equations, which gives me:

$$ \begin{bmatrix}a & b & c \\ d & e& f \\g & h & i\end{bmatrix} ⋅ \begin{bmatrix}2 \\ 0 \\2\end{bmatrix} =\begin{bmatrix}2 \\ 0.5 \\ 1.5\end{bmatrix}$$

$$2a + 2c = 2 \\
2d + 2f = 0.5 \\
2g + 2i = 1.5$$

but I really don't think this is right. I also wouldn't know how to go from here. I tried row reduction on the augmented matrix of this system but it gave me the wrong answer.

If anyone could guide me in te right way, I would really appreciate it!