How do you 'verify' the orthogonality of the eigenvectors of a matrix, let's say ${\bf A}$ , for example? I came across the result that a matrix ${\bf A}$ has orthogonal eigenvectors if ${\bf A^TA=AA^T}$ but is this a definitive test? How does such an equality verify orthogonality?
2026-03-31 14:12:59.1774966379
Verifying Orthogonality of Eigenvectors
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I suggest you read about Normal matrix