NIMCET 2013 Paper

If $A=\left[\begin{array}{ccc}1& 0& 0\\ 0& 1& 1\\ 0& -2& 4\end{array}\right]$ and $6A^{-1}=A^2+cA+dI$, where $A^{-1}$ is the inverse of $A$ and $I$ is the identity matrix, then $(c,d)$ is: