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\(\pi\)
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Consider a Markov chain with transition matrix \(\mathbf{M} = \begin{pmatrix} 0.7 & 0.3 \\ 0.2 & 0.8 \end{pmatrix}\).
Determine the steady state vector \(\pi = \begin{pmatrix} x & y \end{pmatrix}\) of this chain.
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