Let $T: P_2 \to R^2$ be linear given by $T(a + bx + cx^2) = (a-b, b+c) $ . Find the matrix of T with respect to the base $\{1, x, x^2\}$ (of $P_2$) and $\{(1, 0), (-2, 1)\}$
This is the problem in my textbook. It looks so strange with me, I don't know how to use information $(1,0), (-2,1)$ to solve this problem.
Thanks :)