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

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