3. Refer to the random walk on the right. a) Find a transition matrix A so that p(n+1) = A p'(n). b) Assuming you start at node 2, compute p(0), p (1), p (2), p′(3), p (4). 0.3 1 0.7 0.7 0.3 c) Solve A .x = x. There should be infinitely many solutions. Find the one of them which equals lim p'(n). n-8

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