Electrical Circuit Solver Using Gaussian Elimination and Iterative Methods

Problem:

An electrical circuit has $n$ resistors and voltage sources. Using Kirchhoff's laws, the circuit equations can be represented as a system of linear equations $Ax=b,$ where $A$ is the coefficient matrix, $x$ is the vector of unknown currents, and $b$ is the voltage vector.

Task:

Write a Python program to:

Solve the system of equations using Gaussian Elimination.

Solve the same system using Jacobi and Gauss$-$Seidel iterative methods, and compare the results.

Real$-$Life Use:

This program helps analyze the currents in an electrical circuit, critical for circuit design and troubleshooting.

Grading Criteria: Properly commented and running Codes get $100$ points, codes that do not run get $40$ points. No submission $0$ points.