.Question 711. Linear Algebra. This question has 2 parts, please do both.
a. Show that differentiation is the only linear transformation from Pn → Pn which satisfies T(xk) = kxk−1 for all k = 0,1...,n.
b. How else is the linear transformation S : Pn → R which satisfies for all k = 0,1...,n known as?