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You Are Given a Transition Matrix P

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You are given a transition matrix P. Find the steady-state distribution vector.
P=[231302313023013]P = \left[ \begin{array} { c c c } \frac { 2 } { 3 } & \frac { 1 } { 3 } & 0 \\\frac { 2 } { 3 } & \frac { 1 } { 3 } & 0 \\\frac { 2 } { 3 } & 0 & \frac { 1 } { 3 }\end{array} \right]

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