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Figure 2: The graph for Problem 2, 3 and 4 Problem 2 (5 points) (Exercise 5.1.5 MMDS book ) Show by induction on n that

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Figure 2: The graph for Problem 2, 3 and 4 Problem 2 (5 points) (Exercise 5.1.5 MMDS book ) Show by induction on n that if the second, third, and fourth components of a vector v are equal, and M is the transition matrix of the graph in Figure 2, then the second, third, and fourth components are also equal in Mv for any n 20. Here MM(MM(M... (M(v))) with n times

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