24. For an uncoupled linear discrete-time model in R2, given by the diagonal matrix model, AN+1) = [8 91 YN) 24 a. What are the eigenvalues of such a matrix? Justify your answer by solving the characteristic polynomial.24 6. Given initial condition, 15 X15 30 compute Y15 Show steps as needed.24 C - Sketch a rough trajectory and corresponding time series graphs to illustrate the long-term behavior. Ex.- a=o.5,d=0.5 .x Y Y , V : (Xe: 1'0) 81.21%) I Case l)a = 2,d = 0.5 Case 2) a = 0.5, d = 2