ONLY DO QUESTION 4-- USE INFORMATION FROM QUESTION 3

* (3) In the vector space R2[t], let bi(t) = t2 + t + 1, let b2(t) = t2 + 3t + 2, and let b3(t) = t2 + 2t + 1, as in exercise 9 of Section 2.4. Let d/dt : R2[t] - R2[t] be the derivative map. Find the matrix of d/dt relative to the basis B. Hint: First find the matrix of d/ dt relative to the standard basis and then convert. (4) In Raft), let B be as in exercise 3 and let & be the standard basis. Consider the map L : R2[t] - R3 given by L(p) = (p(1), p(2), p(3)) T. Find [Lles and [LIEB and show explicitly that [LEB = [LEEPER