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Two streaming services, Netstream and MoviePlus, compete for subscribers. The transition matrix representing the monthly change is \(\mathbf{T} = \begin{pmatrix} 0.6 & 0.3 \\ 0.4 & 0.7 \end{pmatrix}\).
Find the steady state vector \(\mathbf{s} = \begin{pmatrix} x \\ y \end{pmatrix}\) algebraically by solving the system \(\mathbf{T}\mathbf{s} = \mathbf{s}\).
Interpret the result in terms of market share in the long run.
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