Find the \(2 \times 2\) matrix \(A\) such that \(\begin{pmatrix} 2 & 7 \\ 5 & 17 \end{pmatrix} {A} = \begin{pmatrix} 3 & -2 \\ 4 & 1 \end{pmatrix}.\)
The matrix is \(\begin{pmatrix} 5 & -8 \\ -1 & 4 \end{pmatrix}\).