#stationary-distribution

Question 1: Select all that apply

Which statements about Markov chains and their stationary distributions are true? Select all that apply.

To reach a stationary distribution, the initial distribution $\pi_0$ must itself satisfy $\pi_0 T = \pi_0$ 1
If a state has only one possible outgoing transition, that transition has probability 12
If every row of the transition matrix has exactly one nonzero entry, the chain moves deterministically once its start state is known3
If state A has a self-loop with probability 1 and the chain reaches A, it stays in A forever4