Next State Matrix Multiplication

nextState.py

transitionMatrix = np.matrix([[0, 0, 0, 0, 1, 0, 1, 0, 0, 0],
        [0, 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],
        [1, 0, 0, 1, 0, 0, 0, 0, 0, 1],
        [0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
        [1, 1, 0, 0, 0, 0, 0, 1, 0, 0],
        [0, 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]], dtype=object)
""" 
why am I using dtype=object? At the number of turns out we will be looking at 
will be outside the range of typical data types for NumPy. Int32 & Int64 are simply too small.
With dtype=object, our numbers can be arbitarily large. It is a bit slower, but will allow us to go further out.
"""
stateVector = np.matrix([[0, 1, 0, 0, 0, 0, 0, 0, 0, 0]])

nextState = np.matmul(stateVector,transitionMatrix)

nextState  # order: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9
# matrix([[0, 0, 0, 0, 0, 0, 1, 0, 1, 0]])