Linear Algebra Quiz
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EIGENVALUES & EIGENVECTORS
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A Markov chain has a transition matrix PP and an initial state vector x⃗0=(0.20.8)\vec{x}_0 = \begin{pmatrix} 0.2 \\ 0.8 \end{pmatrix}. The steady-state vector is found to be q⃗=(0.60.4)\vec{q} = \begin{pmatrix} 0.6 \\ 0.4 \end{pmatrix}. Which statement correctly describes the system's evolution?
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