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Python program to determine it's an orthogonal matrix using the program to determine the orthogonal matrices.
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Here is a Python program to determine it's an orthogonal matrix using a Python script

import numpy as np

def is_orthogonal(matrix):
    """Determines if a matrix is orthogonal."""
    if matrix.shape[0]!= matrix.shape[1]:
        return False
    if not np.allclose(np.dot(matrix, matrix.T), np.eye(matrix.shape[0])):
        return False
    return True

# Enter the matrix
matrix = np.array([[1, 2, 3], [4, 5, 6], [7, 8, 9]])

# Calling the function
print((is_orthogonal(matrix)))

#Example Output
# False

#Remember to inspect code for bugs.