Mathedu conducts network analysis.

At Mathedu, we have developed an assessment topic that focuses on the analysis of networks through solving a linear system with infinitely many solutions.

These networks, consisting of branches and junctions, have practical applications in various fields such as traffic analysis, water and electricity networks, and economic and financial studies.

By examining the balance of incoming and outgoing flows at each junction, students are able to formulate a system of linear equations with infinitely many solutions, provided that the number of unknowns is equal to the number of junctions.

Through a graphical representation of a given network, students are tasked with creating a linear equation for each junction, resulting in a system of five linear equations with five unknowns.

They are then challenged to solve this system using a Python program, which they modify to utilize the Gauss-Jordan pivot method for solving a singular linear system with infinitely many solutions.

The program's results are then used to deduce a parametric solution for the system.

This exercise allows students to actively engage in both mathematical reasoning and Python programming.