Linear Algebra

If $A$ is a square matrix satisfying $A^3 = 0$ (nilpotent of index 3), then $(I - A)^{-1}$ is:

Options:

• (A) $I + A + A^2$
• (B) $I - A + A^2$
• (C) $I - A^2$
• (D) $A + A^2$