Please solve :

$$\begin{gathered} A = \left[\begin{array}{ccc}1& 0& 0\\ 0& 1& 1\\ 0& -2& 4\end{array}\right] , I = \left[\begin{array}{ccc}1& 0& 0\\ 0& 1& 0\\ 0& 0& 1\end{array}\right] \\ A^{-1} = \frac{1}{6} \left(A^2+CA+dI\right) \\ Where c, d\in R, then pair of values of c and d are . \end{gathered}$$