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You Are Given a Transition Matrix P and Initial Distribution P=[0.10.9001000.20.8]P = \left[ \begin{array} { c c c } 0.1 & 0.9 & 0 \\0 & 1 & 0 \\0 & 0.2 & 0.8\end{array} \right]

question 3

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You are given a transition matrix P and initial distribution vector v. Find the two-step transition matrix and the distribution vector after two steps.
P=[0.10.9001000.20.8]P = \left[ \begin{array} { c c c } 0.1 & 0.9 & 0 \\0 & 1 & 0 \\0 & 0.2 & 0.8\end{array} \right] , v=[0.500.5]v = \left[ \begin{array} { l l l } 0.5 & 0 & 0.5\end{array} \right]


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