Ok, I was asked this strange question that I can't seem to grasp the concept of..
Let $T$ be a linear transformation such that:
$$T \langle1,-1\rangle = \langle 0,3\rangle \\
T \langle2, 3\rangle = \langle 5,1\rangle $$
Is there suppose to be a function out of this? A matrix of some kind? Maybe both? If so, what is it?