与矩阵 $A=\left(\begin{array}{ccc}2 & 0 & 2 \\ 0 & -3 & 0 \\ 2 & 0 & 2\end{array}\right)$ 既相似又合同的矩阵是（ ）
A
$\left(\begin{array}{lll}1 & & \\ & -1 & \\ & & 0\end{array}\right)$
B
$\left(\begin{array}{lll}2 & & \\ & -3 & \\ & & 0\end{array}\right)$
C
$\left(\begin{array}{lll}3 & & \\ & -4 & \\ & & 0\end{array}\right)$
D
$\left(\begin{array}{lll}4 & & \\ & -3 & \\ & & 0\end{array}\right)$
E
F