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Why do we convert a partial differential equation into canonical form?

I mean what is the use of converting it .
How is it beneficial than in the normal form ?
If it gets simpler to solve then, how does it get simpler?


I'm not sure what you mean by "canonical" and "normal." I'll try to answer your question in the way I understand it. The word "canonical" can mean many things, but in this context it might just mean "usual" form

Example of Jordan Canonical Form: 2x2 Matrix

Matrix Theory: Find the Jordan form for the real 2 x 2 matrix A = [0 -4 \ 1 4]. For this matrix, there is no basis of eigenvectors, so it is not ...