Let 1.25 -0.75 A = 0.75 1.25 Consider the discrete dynamical system determined bi the equation xk+1 = Axk, k = 0, 1, 2,.... (a) Classify the origin as an attractor, repeller or saddle point of this dynamical system. NOTE: No need to show all steps when finding eigenvalues and eigenvectors of A. (b) What are the directions of the greatest repulsion and of the greatest attraction? Justify your answer. HINT: These directions give straight line trajectories!