2. [5 POINTS] Let {So, S1, S2,...} be a sequence defined by the following initial values and linear recurrence relation: So = 1 Si = 1 for n >0, Sn+2 = 4Sn+1+2Sn a) [1 POINT] Find S2, S3, and S4. Show your work. b) [1 POINT] Give the companion matrix A for this recurrence relation. c) [1 POINT] Find the characteristic polynomial of A and its exact eigenvalues. Show your work. d) [2 POINTS] Find the general solution for St. Show all your work