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Applications of Linear Algebra to Civil Engineering

A quick Google of ‘applications of linear algebra to civil engineering’; shows up a lot of the following.

  • Truss systems give rise to linear systems — as does any analysis of equilibria
  • Traffic Flow Problems
  • Electrical Circuits
  • Numerical Solution of Differential Equations (e.g. Beam Equations)
  • Stress and Strain
  • Elastic Systems — such as systems of springs and pulleys
  • Torque

Also a lot of the theory of differential equations is best analysed using (infinite dimensional) linear algebra. For example, we said that the solutions of second order linear homogenous differential equations must be two dimensional. This is a linear algebra result.