transitionMatrix = np.matrix([[0, 0, 0, 0, 0, 1, 0, 1, 0, 0],
        [0, 0, 0, 0, 0, 0, 1, 0, 1, 0],
        [0, 0, 0, 1, 0, 0, 0, 1, 0, 0],
        [0, 0, 1, 0, 0, 0, 0, 0, 1, 1],
        [0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
        [1, 0, 0, 0, 0, 0, 1, 0, 0, 1],
        [0, 1, 0, 0, 0, 1, 0, 0, 0, 0],
        [1, 0, 1, 0, 0, 0, 0, 0, 0, 0],
        [0, 1, 0, 1, 0, 0, 0, 0, 0, 0],
        [0, 0, 0, 1, 0, 1, 0, 0, 0, 0]])

stateVector = np.matrix([[1, 0, 0, 0, 0, 0, 0, 0, 0, 0]])

nextState = np.matmul(stateVector,transitionMatrix)

nextState  # order: 1, 2, 3, 4, 5, 6, 7, 8, 9, 0 - I am aware it doesn't start with 0
# matrix([[0, 0, 0, 0, 0, 1, 0, 1, 0, 0]])