# Science:Math Exam Resources/Courses/MATH152/April 2015/Question A 16/Hint 1

For a general ${\displaystyle 2\times 2}$ matrix ${\displaystyle A}$, what are ${\displaystyle A{\begin{bmatrix}1\\0\end{bmatrix}}}$ and ${\displaystyle A{\begin{bmatrix}0\\1\end{bmatrix}}}$? How can you use linearity to determine the former in this case, using the given information?