下列矩阵中, 不能相似于对角矩阵的是
A
$\boldsymbol{A}=\left[\begin{array}{lll}0 & 0 & 1 \\ 0 & 1 & 0 \\ 1 & 0 & 0\end{array}\right]$
B
$\boldsymbol{B}=\left[\begin{array}{lll}1 & 1 & 1 \\ 0 & 2 & 2 \\ 0 & 0 & 3\end{array}\right]$
C
$\boldsymbol{C}=\left[\begin{array}{lll}1 & -2 & 1 \\ 2 & -4 & 2 \\ 1 & -2 & 1\end{array}\right]$
D
$\boldsymbol{D}=\left[\begin{array}{ccc}2 & -1 & 2 \\ 5 & -3 & 3 \\ -1 & 0 & -2\end{array}\right]$
E
F