Question: a. In Example 5, show that for the regular stochastic matrix P, the sequence of successive powers P. P2.P3,. . . approaches a stable matrix

In Example 5, show that for the regular stochastic matrix P, the sequence of successive powers P. P2.P3,. . . approaches a stable matrix F, where the entries in each column of are equal to the corresponding entries in the steady state matrix X. Repeat for several other regular stochastic matrices P and corresponding steady state matrices X. In Example 5, show that for the regular stochastic matrix P, the sequence of successive powers P. P2.P3,. . . approaches a stable matrix F, where the entries in each column of are equal to the corresponding entries in the steady state matrix X. Repeat for several other regular stochastic matrices P and corresponding steady state matrices X. Proof Prove that when P is a regular stochastic matrix, the corresponding regular Markov chain PXO, P2X , P3X0, . . . approaches a unique steady state matrix X

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