If $$A =\begin{bmatrix}0 & 0 & 1 \\0 & 1 & 0\\ 1& 0 &  0 \end{bmatrix}$$ and $$B =\begin{bmatrix}-1 & 0 & 0 \\0 & -1 & 0\\ 0 & 0 & -1 \end{bmatrix}$$, then then $$A^{99}B^{100} + B^{99}A^{100}$$

A

$$AB + BA$$

B

$$A^{2} + B^{2}$$

C

$$A + B$$

D

$$A + B + I$$