Operatior and diagonalize

Consider the operator T : P2 (F) -> (F) given by T p(x) = xp' (x). Find a basis for
P2 (F) with respect to which the matrix for T is diagonal (in other words, diagonalize T ).

Consider the operator T : F^3 ->F^3 given by T x = Ax, where A =
(1 0 0
-1 2 1
-2 0 3).
Find a basis for F^3 with respect to which the matrix for T is diagonal (in other words, diagonalize T ).