If A is a nonzero square matrix of order $n$ with det $(I+A) \neq 0$ and $A^3=0$, Where $I,O$ are unit and null matrices of order $n \times n $ respectively the $(1+A^{-1})=$

Question

\[\begin {array} {1 1} (1)\;I-A+A^2 & \quad (2)\;I+A+A^2 \\ (3)\;I+A^{-1} & \quad (4)\;I+A \end {array}\]