To plot a zero-one matrix as a scatter plot, you can use the matplotlib library in Python. Here are the steps to do so:

1. Import the necessary libraries:

import matplotlib.pyplot as plt
import numpy as np

2. Create a random zero-one matrix using numpy:

matrix = np.random.randint(0, 2, size=(10, 2))

This will create a 10x2 matrix with random zeros and ones.

3. Plot the matrix as a scatter plot:

plt.scatter(matrix[:, 0], matrix[:, 1])
plt.show()

This will create a scatter plot where each point represents a row in the matrix. The x-coordinate of the point represents the value in the first column of the row (which is either 0 or 1), and the y-coordinate represents the value in the second column of the row (which is also either 0 or 1).

You can customize the scatter plot by changing the color, size, and other properties of the markers using the scatter function's optional parameters.