Write a program that implements Gaussian elimination method with pivot condensation for solving n linear equations in n variables, that calls procedures

(i) lower-triangularisation and

(ii) back substitutions (codes of procedures are also to be written). Use the program for solving the following system of linear equations:

5x - 7y + 8z = 11

4x - 9y + 3z = 2

9x +2y + 5z = 25

Sure, I can provide you with a Python program to implement the Gaussian elimination method with pivot condensation to solve a system of linear equations. This program will include procedures for lower-triangularization and back-substitution. Here's the code:

```python
import numpy as np

def lower_triangularization(A, b):
    n = len(b)
    for k in range(n - 1):
        for i in range(k + 1, n):
            factor = A[i][k] / A[k][k]
            for j in range(k, n):
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