https://github.com/teloryfrozy/3x3-gaussian-elimination

Small Gaussian Elimination Method implementation
https://github.com/teloryfrozy/3x3-gaussian-elimination

Last synced: 21 days ago
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Small Gaussian Elimination Method implementation

• Host: GitHub
• URL: https://github.com/teloryfrozy/3x3-gaussian-elimination
• Owner: teloryfrozy
• License: gpl-3.0
• Created: 2023-10-01T13:32:38.000Z (over 1 year ago)
• Default Branch: main
• Last Pushed: 2023-11-24T08:49:13.000Z (about 1 year ago)
• Last Synced: 2024-11-06T12:23:38.660Z (2 months ago)
• Language: Ruby
• Size: 21.5 KB
• Stars: 0
• Watchers: 1
• Forks: 0
• Open Issues: 0
• Metadata Files:
  • Readme: README.md
  • License: LICENSE

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README

        
# 🧮 Gaussian Elimination Method for Solving a 3x3 Linear System 📊

This Python program implements the Gaussian Elimination method to solve a system of three equations with three unknowns. Given a matrix of coefficients and a vector of numbers, it calculates the values of x, y, and z, providing a solution to your linear system.

### 🚀 Usage

_Replace the matrix M and vector S in the code with your specific coefficients and numbers.

Run the program._

```python

M = [[1, 2, -1], [2, 3, 1], [1, 1, 1]]

S = [4, 17, 9]

solution = gaussian_elimination(M, S)

print(solution)

```

The program will display the solution, including the values of x, y, and z.

### 💡 Example

For the provided example:

```python

M = [[1, 2, -1], [2, 3, 1], [1, 1, 1]]

S = [4, 17, 9]

```

The program will output:

The solution to the system is:

x = 1.0

y = 2.0

z = 3.0

### 📜 License

This program is open-source and free to use without restrictions.