Asymmetry measurement of a square matrix

assym.py

import numpy as np

def assym(a):
    return 1 - (np.linalg.det(0.5*(a + a.T)) / np.linalg.det(a))

for a in ([[10,123,0],[123,10,0],[0,0,10]], [[10,123,0],[121,10,0],[0,0,10]],
          [[10,123,0],[50,10,0],[0,0,10]], [[10,123,0],[0,10,0],[23,0,10]],
          [[10,123,0],[-123,10,0],[5422,0,10]]):
    a = np.matrix(a)
    print(a)
    print(assym(a))
    print()
    
>>> [[ 10 123   0]
>>>  [123  10   0]
>>>  [  0   0  10]]
>>> 0.0
>>> 
>>> [[ 10 123   0]
>>>  [121  10   0]
>>>  [  0   0  10]]
>>> -6.764526821045891e-05
>>> 
>>> [[ 10 123   0]
>>>  [ 50  10   0]
>>>  [  0   0  10]]
>>> -0.2202066115702468
>>> 
>>> [[ 10 123   0]
>>>  [  0  10   0]
>>>  [ 23   0  10]]
>>> 39.145000000000046
>>> 
>>> [[  10  123    0]
>>>  [-123   10    0]
>>>  [5422    0   10]]
>>> 483.59380130015165