Gaussian Elimination in Python

Description

This project solves systems of linear equations using Gaussian Elimination and Back Substitution, implemented in Python with NumPy.

Features

• Forward elimination to row echelon form
• Back substitution to find solutions
• Row swapping for pivoting
• Inconsistency detection

Usage

1. Edit the augmented matrix A in the script:

A = np.array([
    [ 2, -3,  2,  3],
    [ 1, -1, -2, -1],
    [-1,  2, -3, -4]
])

2. Run the script:

python gaussian_elimination.py

3. Output includes the reduced matrix and solution vector.

Requirements

• Python 3.x
• NumPy

License

Free to use and modify.