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

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
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Chapter5: Inner Product Spaces
Section5.CM: Cumulative Review
Problem 21CM
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Question
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
H
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→∞
Transcribed Image Text: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 H 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→∞
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