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Linear AlgebraEasyMarkov Chains & Long-Run Behavior

Markov Chains & Long-Run Behavior · Easy problem

The transition matrix M=(0.80.30.20.7)M = \begin{pmatrix} 0.8 & 0.3 \\ 0.2 & 0.7 \end{pmatrix} has λ=1\lambda = 1 as one eigenvalue. What is its other eigenvalue? Express your answer as a decimal.