I was going through Markov chains where all the state vectors are stochastic (their entries add up to 1). Then, since a steady state vector in a Markov chain is both stochastic and also an eigenvector with a corresponding eigenvalue of 1, I was wondering whether all eigenvectors of corresponding eigenvalue 1, have to be stochastic vectors.
2026-03-31 09:31:26.1774949486
Does an eigenvector of corresponding eigenvalue '1' have to be a stochastic vector?
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