Let M be a $$3 \times 3$$ matrix satisfying:
$$M \begin{bmatrix}0\\1\\0 \end{bmatrix} = \begin{bmatrix}-1\\2\\3 \end{bmatrix}, M \begin{bmatrix}1\\-1\\0 \end{bmatrix} = \begin{bmatrix}1\\1\\-1 \end{bmatrix}$$, and $$M \begin{bmatrix}1 \\1 \\1 \end{bmatrix} = \begin{bmatrix}0 \\0 \\12 \end{bmatrix}$$. Then the sum of the diagonal entries of M is:

A

9

B

12

C

6

D

0