Linear Algebra › Section A · Linear equations in linear algebra › Topic A.6

Applications of linear systems

Prices that balance an economy, coefficients that balance a chemical reaction and traffic that balances at every junction all come from the same mathematics. Each is a linear system, and the free variables in its solution carry real meaning.

In this topic

  • Balance is linear
  • A modelling routine
  • An exchange economy
  • Worked example: equilibrium prices
  • Balancing chemical equations
  • Worked example: balancing ethane
  • Network flow
  • Worked example: a one-way loop
  • Common mistakes to avoid
  • Key takeaways

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