(1 pt) Consider the sequence defined recursively by a₁ = -2, a2 = 2, an+1 = 8an-12an. We can use matrix diagonalization to find an explicit formula for an. = M [][] an a. Find a matrix that satisfies = an+1 an-1 an M b. Find the appropriate exponent k such that an an+1 k = = Mk a1 a2 c. Find a diagonal matrix D and an invertible matrix P such that M = PDP-¹. D d. Find P-1 P-1 = HE e. Find M5 PD5P-1. Ms == f. Use parts b. and e. to find a6. a6 = g. You can find an explicit formula for a using part b. and a formula for Mk = PDP-1. Try to develop this formula. Use your formula to verify the answer for part f.