Let $W$ be the set of all vectors of the form $$\begin{bmatrix} 5s-3r+t \\ r-3s-t \\ 2s-3r+2t \\ 3r-s+3t \end{bmatrix}$$ with $r$, $s$ and $t$ real. Find a matrix $A$ such that $W=\text{Col}(A)$.

$A=$ $\left[\Rule{0pt}{4.8em}{0pt}\right.$$\left]\Rule{0pt}{4.8em}{0pt}\right.$.