Calculates the volume of fundamental domain using basis vectors

fundamental_domain_volume.py

#!/usr/bin/env python3

import numpy as np

'''
Our volume is found by taking the determinte
of the vectors given. #LinearAlgebraBoii

v1 = [6, 2, -3]
v2 = [5, 1, 4]
v3 = [2, 7, 1]

Then make it look like:
    6, 2, -3
    5, 1,  4
    2, 7,  1

Then the determinite algorithm is:
    6(1*1-7*4) - 2(5*1 - 2*4) + (-3)(5*7 - 2*1) = -255

Then our volume is: |-255| = 255
'''

v1 = [6, 2, -3]
v2 = [5, 1, 4]
v3 = [2, 7, 1]

numpy_array = np.array([v1,v2,v3])
det = np.linalg.det(numpy_array)
print(f"Volume: {abs(det)}") # Can round up if need be