Answer:
![\text{A.}\quad\left[\begin{array}{c}0\\0\end{array}\right]](https://img.qammunity.org/2019/formulas/mathematics/college/ak9dxygj0e9e4naii6k4fn45zgvpz92zc0.png)
Step-by-step explanation:
Matrices can only be added if they are the same dimensions. Choices B and D have different dimensions than a 2×1 matrix representing a point. Choice C would translate the point to a position 1 unit up and 1 unit to the right of its original location.
![\left[\begin{array}{c}x\\y\end{array}\right] +\left[\begin{array}{c}0\\0\end{array}\right] =\left[\begin{array}{c}x\\y\end{array}\right]](https://img.qammunity.org/2019/formulas/mathematics/college/kp6xg393eovt9h9fkdp0qh8xkc52dya6ho.png)