Answer:
[tex]\text{A.}\quad\left[\begin{array}{c}0\\0\end{array}\right][/tex]
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.
[tex]\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][/tex]
