import numpy as np

def random_property_rotation(
        user_keypad: np.ndarray,
        prop_rotation: list[int]
) -> np.ndarray:
    transposed = user_keypad.T
    if len(prop_rotation) != len(transposed):
        raise ValueError("prop_rotation must be the same length as the number of properties")
    for idx, prop_set in enumerate(transposed):
        rotation = prop_rotation[idx]
        rotation = rotation % len(prop_set) if len(prop_set) > 0 else 0
        transposed[idx] = np.roll(prop_set, rotation)
    return transposed.T