1. Consider the iterated matrix model Un+1 = Mun. with transition matrix [3/1 M = 1/1 3 /1 (a) The matrix M has eigenvalues 1 = 5/4 and A2 = 1/1. The vector v2 = _ is an eigenvector corresponding to the eigenvalue 12 = 1/1. Find an eigenvector corresponding to the eigenvalue X1 = 5/1