HOW TO DETERMINE IF THE SYSTEM OF LINEAR EQUATION IS HYPERBOLIC?
When dealing with system of Partial Differential Equations (PDE) one may have to determine if the matrix A, satisfying the equation is whether hyperbolic or not. In order to determine if a system of PDE is hyperbolic, one must determine if the matrix is diagonalizable.
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Reference: Advanced Computational Fluid Dynamics, Lecture notes - Jacek Rokicki, 2014