sahilguptasg2017 / Homogenous-Equation-Solver

This code solves the homogenous system Ax = 0 and write the general solution in parametric vector form

Homogeneous Equation Solver

This Python program solves a homogeneous system of linear equations of the form Ax=0, where A is a matrix and x is the vector of variables. The program accepts the size of the matrix (number of rows and columns) and the entries of matrix A as input. The solution is then presented in parametric vector form.

Usage

1. Clone the Repository:

   git clone https://github.com/sahilguptasg2017/Homogenous-Equation-Solver.git

2. Navigate to the Project Directory:

   cd homogeneous-equation-solver

3. Run the Program:

   python homogeneous_solver.py

Follow the on-screen instructions to input the size of the matrix and its entries.

Input

You can provide input in two ways:

• Interactive Mode: The program prompts you to enter the size of the matrix and its entries interactively.

• Text File Input (Optional): If you prefer, create a text file (input.txt) with the following format:

  3 3  # Number of rows and columns
  1 2 3
  4 5 6
  7 8 9

In this example, a 3x3 matrix is represented.

Output

The program outputs the general solution of the homogeneous system in parametric vector form.

Algorithm

The code implements algorithms learned in the course to solve the homogeneous system Ax=0.