Consider the dynamical system x k + 1 = Ax k . (a) Compute and plot x
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xk + 1 = Axk.
(a) Compute and plot x0,x1,x2,x3, for x0
(b) Compute and plot x0,x1,x2,x3, for x0 
(c) Using eigenvalues and eigenvectors, classify the origin as an attractor, repeller, saddle point, or none of these.
(d) Sketch several typical trajectories of the system.
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