Linear Algebra

Module code: EC1014

Module co-ordinator: Dr Matthew Polisson

Linear algebra is essential to economic analysis because linear models offer the simplest representations of many real-world systems: supply and demand, national income, firm production, employment, IS-LM, investment and so on. A linear system can be solved efficiently by exploiting properties that are particular to a linear space. More generally, the language and concepts of linear algebra are widespread across many disciplines. In this module you will learn the basic tools of linear algebra, with an emphasis on their applications in economics.  

Topics covered

  • Systems of linear equations
  • Vectors and matrices
  • Linear independence
  • Elementary matrix operations
  • Matrix inversion
  • Determinants
  • Quadratic forms
  • Optimisation
  • Economic applications


  • 20 one-hour lectures
  • 9 one-hour tutorials


  • Coursework (20%)
  • Final exam, 2 hours (80%)