4. Consider the first order difference equation

1.25 -0.75 4. (20) Consider the first order difference equation XK+1 = AX, where A = -0.75 1.25 a. (8) If the initial point is given by Xo = CV, + C2V2 with two eigenvalues v, and v, of the given system and some coefficients c, and c2, what would be the general solution x, of the system? b. (6) Carefully graph the trajectories in the 2D plane for the linear system based on the general solution you got from 4-(a). c. (6) Based on the trajectory you draw in 4-(b), classify the origin as an attractor, repeller, or saddle point with a proper reason. Also, find the direction of greatest attraction and'or repulsion