\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Which of the following matrices cannot be a transition matrix for a Markov chain? Justify.$$ \mathbf{M}_1 = \begin{pmatrix} 0.6 & 0.4 \\ 0.5 & 0.5 \end{pmatrix}, \quad \mathbf{M}_2 = \begin{pmatrix} 0.1 & 0.9 \\ 0.3 & 0.6 \end{pmatrix}, \quad \mathbf{M}_3 = \begin{pmatrix} 1.1 & -0.1 \\ 0.2 & 0.8 \end{pmatrix} $$
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