For the two-state Markov chain, whose transition probability matrix is

Find all stationary distributions

To find the stationary distributions of the two-state Markov chain, we need to solve the equation:

\[ \pi P = \pi \]

Where:
- \( \pi \) is the stationary distribution vector.
- \( P \) is the transition probability matrix.

For a two-state Markov chain with transition probability matrix \( P \), the ________ ________ _____ _________ ____ ______ _______ ______ ___ _______.
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