Stationary Vector Verification

00:00 4 marks

Given the transition matrix \(P = \begin{pmatrix} 0.6 & 0.4 \\ 0.3 & 0.7 \end{pmatrix}\) and the candidate stationary distribution vector \(v = \begin{pmatrix} 0.5 \\ 0.5 \end{pmatrix}\), verify whether \(v\) is a stationary vector for \(P\). Show that multiplying \(P\) by \(v\) yields \(v\).

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Hint

A vector \(v\) is stationary for a transition matrix \(P\) if \(P\,v = v\).

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Yes, the candidate vector is stationary since \(P\,v = v\).

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Stationary Vector Verification

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Stationary Vector Verification

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