AdvancedYear 2 undergraduate

Linear Algebra Matrix Modeling Case Study

Use matrix methods to model traffic flow across a small network and explain how constraints affect the solution space.

Requirements

  • Translate the network into a system of linear equations.
  • Use row reduction to solve for possible traffic flows.
  • Identify free variables and practical constraints.
  • Explain how changing one road capacity affects feasible solutions.

Deliverables

Annotated matrix calculations.
A three-page case report.
Optional spreadsheet or notebook used for checking work.

Assessment focus

1

Correct system setup.

2

Accurate row operations.

3

Quality of interpretation.

4

Professional report structure.