 The transition probabilities formula_13 of a given random variable formula_12 representing all possible states in the hidden Markov model will be represented by the matrix formula_15 where the column index formula_16 will represent the target state and the row index formula_17 represents the start state.A transition from row-vector state formula_18 to the incremental row-vector state formula_19 is written as formula_20.The example below represents a system where the probability of staying in the same state after each step is 70% and the probability of transitioning to the other state is 30%.