Let A be a 2 x 2 matrix with eigenvalues 2 and 1/2 with corresponding eigenvectors V1 = and v2 For the discrete dynamical system Xk+1 = Axe, classify the origin as an attractor, repeller, or saddle-point, and identify the direction(s) of greatest attraction and/ or repul- sion. 1/V2 1/V2 1 2 Let A = -1/v2 1/v2 0 2 81- , and let b = . Find a least-squares solution 0 0 O 0 to Ax = b. (Note: there are several ways to accomplish this.)