If $A^5 = O$ such that $A^n ≠ I$ for $1 ≤ n ≤ 4$, then $(I – A)^{–1}$ is equal to

$A^4$ $A^3$ $I + A$ none of these

none of these

$I-A^5=(I-A)(I+A+A^2+A^3+A^4)$ $I=(I-A)(I+A+A^2+A^3+A^4)$ $⇒(I-A)^{-1}=(I+A+A^2+A^3+A^4)$