设 $\boldsymbol{A}=\left(\begin{array}{cccc}1 & 3 & 0 & 0 \\ 0 & 4 & 6 & 0 \\ 0 & 0 & 7 & 9 \\ 0 & 0 & 0 & 10\end{array}\right), \boldsymbol{B}=(2 \boldsymbol{A}+\boldsymbol{E})(\boldsymbol{A}+2 \boldsymbol{E})^{-1}$, 则 $|\boldsymbol{B}-2 \boldsymbol{E}|$ 中所有元素的代数余子式之和为
$\text{A.}$
$\text{B.}$
$\text{C.}$
$\text{D.}$