A is a $$2 \times 2$$ matrix, such that $$A \begin{bmatrix}1\\-1\end{bmatrix} = \begin{bmatrix}-1\\2\end{bmatrix}$$ and $$A^2 \begin{bmatrix}1\\-1\end{bmatrix} = \begin{bmatrix}1\\0\end{bmatrix}$$. Then the sum of the elements of A is

A

-1

B

0

C

3

D

5