已知 $\boldsymbol{A}=\left[\begin{array}{llll}0 & 0 & 0 & 0 \\ 1 & 0 & 0 & 0 \\ 0 & 1 & 0 & 0 \\ 0 & 0 & 1 & 0\end{array}\right], \boldsymbol{E}$ 是四阶单位矩阵，则 $\left(\boldsymbol{E}+\boldsymbol{A}+\boldsymbol{A}^2+\boldsymbol{A}^3+\boldsymbol{A}^4+\boldsymbol{A}^5\right)^{-1}=$
$\text{A.}$
$\text{B.}$
$\text{C.}$
$\text{D.}$
$\text{E.}$
$\text{F.}$