$A=\begin{bmatrix}1&0&0\\0&1&1\\0&-2&4\end{bmatrix}$ and $I=\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\end{bmatrix}$ and $A^{-1}=[\large\frac{1}{6}$$(A^2+cA+dI)]$ then the value of $c$ and $d$ are

Question

$(a)\;(-6,-11)\qquad(b)\;(6,11)\qquad(c)\;(-6,11)\qquad(d)\;(6,-11)$