feat: Added Gauss Elimination

[GiovannaRMendes]

Developer Checklist

• Adhered to the guidelines outlined in the README & Contributing file.
• Maintained the correct directory structure (e.g., ProjectName/...yourfiles).
• Please ensure to include a README file for enhanced project clarity.
• Starred ⭐ the repository (optional).

Summary

This implementaion is a Gauss Elimination with Partial Pivoting in Python.

Screenshot

Live Project Link

GiovannaRMendes/All-In-One-Python-Project

[github-actions]

👋 @GiovannaRMendes 👋

We're delighted to have your pull request! Please take a moment to check our contributing guidelines and ensure you've filled out the PR template for a smooth process. We will review it soon.

[Copilot]

Pull Request Overview

This pull request implements Gauss Elimination with Partial Pivoting in Python, introducing a new algorithm to solve linear systems via Gaussian elimination and partial pivoting. Key changes include the addition of functions for pivot selection and elimination, the implementation of back-substitution to resolve the system, and updates to the README file with usage details and screenshots.

Reviewed Changes

Copilot reviewed 4 out of 5 changed files in this pull request and generated no comments.

File	Description
Gauss Elimination with Partial Pivoting/main.py	New implementation of Gauss elimination with partial pivoting and matrix input handling
Gauss Elimination with Partial Pivoting/README.md	Added documentation and usage examples for the algorithm

Files not reviewed (1)

• Gauss Elimination with Partial Pivoting/runtime.txt: Language not supported

Comments suppressed due to low confidence (2)

Gauss Elimination with Partial Pivoting/main.py:5

• To correctly select the pivot based on magnitude, consider comparing abs(matrix[index_column][index_column]) instead of matrix[index_column][index_column].

if matrix[index_column][index_column] < abs(matrix[i][index_column]):

Gauss Elimination with Partial Pivoting/main.py:36

• [nitpick] The variable name 'sum' shadows Python's built-in function. Consider renaming it to a more descriptive name like 'total' to improve readability and avoid potential issues.

sum = 0

[king04aman]

Thank you for your contribution! The implementation is well-structured and works as expected. Just a few minor suggestions for improvement, but overall great job.

[github-actions]

👋 @king04aman 👋

🎉 You've just merged your pull request! We're excited to have you in our community. Keep up the fantastic contributions to the project!