I'm wondering how to prove this statement. Say $A=S^{-1}BS$ and $A^TA=I$, then $(S^{-1}BS)^T S^{-1}BS = I$; so $ S^TB^T{S^{-1}}^{T} S^{-1}BS = I$, but I'm not sure about the next step.
2026-04-02 15:05:40.1775142340
A matrix is orthogonal if its similar matrix is orthogonal
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