How to generate Cauchy Matrix from arrays in Numpy?

Let’s check how to generate Cauchy Matrix from arrays in Numpy Python library.

Generating matrices

First I generated two arrays. Both sixth elements. First one from 10 to 12 and the second one 4 to 8. To do that I used linspace Numpy function.

Cauchy Matrix will be generated by below code:
cauchy_matrix = 1/np.subtract.outer(my_array, my_second_array)

import numpy as np

my_array = np.linspace(10, 12, 6)
my_second_array = np.linspace(4, 8, 6)

cauchy_matrix = 1/np.subtract.outer(my_array, my_second_array)

print(f"My first array: \n {my_array}")
print(f"My second array: \n {my_second_array}")

print(f"Cauchy Matrix generated based on above arrays: \n{cauchy_matrix}")

And this is my Cauchy Matrix generated by Python Numpy library.

[[0.16666667 0.19230769 0.22727273 0.27777778 0.35714286 0.5       ]
 [0.15625    0.17857143 0.20833333 0.25       0.3125     0.41666667]
 [0.14705882 0.16666667 0.19230769 0.22727273 0.27777778 0.35714286]
 [0.13888889 0.15625    0.17857143 0.20833333 0.25       0.3125    ]
 [0.13157895 0.14705882 0.16666667 0.19230769 0.22727273 0.27777778]
 [0.125      0.13888889 0.15625    0.17857143 0.20833333 0.25      ]]