Gauss Solver

This is a test project implementing a system of linear equations solver using the Gaussian elimination method. The code includes several helper functions for working with matrices, such as transposition, zero padding, and minor calculations.

⚠️ Disclaimer: This project contains a lot of messy and unoptimized code due to my skills and some my algorithms, which I wrote into my notebook :D

🛠 Note: This project does not use any third-party libraries—only custom-written algorithms. The idea of my project - write an interesting, useful app with algorithms

⚙️ Also: In this project I used some my skills in linear algebra, I didn't see anything in internet or wikipedia. I was solving a lot of problems to do the algorithms in the notebook :D

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📌 Functions Overview

• transpose_matrix(matrix) – Transposes a matrix (switching rows and columns).
• add_zeros(matrix) – Adds zeros to the matrix after applying the Gaussian algorithm.
• swap(matrix, idx) – Swaps matrix rows for correct calculations.
• minor(matrix, idx) – Computes the minor of a matrix by rearranging rows.
• gauss_method_algo(eq_system, eq_matrix, result={}) – Recursive Gaussian elimination algorithm to reduce the matrix to echelon form and find unknown variables.
• gauss_method(eq_system, eq_matrix) – Main function to solve a system of linear equations using the Gaussian method.
• full_return(matrix) – Returns in more legacy solutions.
• check_matrix(matrix) – Check if matrix is square.

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🚀 How to Use

Example usage:

# Import library
import matrix

# Coefficients of the equation system
eq_system = [[4, -3, 3, -2], [3, 2, 3, 4], [1, 3, -5, 3], [2, -2, 5, -5]]
# Right-hand side of the equations
eq_matrix = [0, 3, 4, 3]

# Run Gaussian method
result = gauss_method(eq_system, eq_matrix)

# Return result
print (result) # [1.0, 2.0, 0.0, -1.0]

# Return in full output
print (matrix.full_return(result)) # {'x1': 1.0, 'x2': 2.0, 'x3': 0.0, 'x4': -1.0}

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🎯 Output

The function gauss_method solves the system and prints the values of unknown variables.

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💡 Found a bug? Feel free to report it!

📜 License

This project is licensed under the MIT License.

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