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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