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Determinants

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Why are finding determinants important?
Aside from Cramer's rule when are determinants used?

  • Determinants -

    Determinants appear often when you are interested in finding the inverse of an operator that is a square matrix. They also appear in tensor calculus, which is the mathematical form in which the General Theory of Relativity is written.

    In my 50 years as an applied physicist, I have sometimes had to read texts and articles that used determinants in derivations, but I have only had to actually calculate them when using Cramer's Rule to solve a system of equations.

    Sometimes when doing detailed solutions of fluid mechanics problems with viscosity, tensor calculus is needed.

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