Linear Algebra › Section A · Linear equations in linear algebra › Topic A.10

Linear models in science and engineering

Mixing ingredients to hit nutrition targets, finding the currents in a circuit and forecasting how a population shifts between city and suburbs are three very different problems. Each becomes a matrix equation, and the tools of this section solve all three.

In this topic

  • Why linear models are everywhere
  • Mixing to meet targets
  • Worked example: a meal plan
  • Electrical networks
  • Worked example: two loop currents
  • Difference equations
  • Worked example: city and suburbs
  • Linearity and its limits
  • Common mistakes to avoid
  • Key takeaways

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