The linear transformation L defined by : \(L(p(x)) = p^{'}(x) + p(0) \) maps P3into P2. Find the matrix representation of L with respect to the ordered Bases [x^2, x, 1] and [2, 1-x]. For each of the following vectors p(x) in P3, find the coordinates of L(p(x)) with respect to the ordered basis [2, 1-x].
a) x^2 + 2x -3
b) x^2 + 1
c) 3x
d)4x^2 + 2x
