How can I possibly characterize the set of matrices such that $A^T A = A A^T$?
I know that if I have $A^T A = A A^T = I_n$ then it is the set of orthogonal matrices ($A^{-1}=A^T$). But now how can I describe such a set? Thanks in advance.
2026-04-19 12:05:34.1776600334
Set of normal matrices
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These are the so-called normal matrices (assuming that we are talking about real matrices here).