If $A$ is a square $m \times m$ matrix and $O$ is an orthogonal $m \times m$ matrix, is it true that $$\|AO \|_F=\|A\|_F,$$ where $\|\cdot\|_F$ stands for the Frobenius norm of the matrix?
2026-04-24 13:03:43.1777035823
Is the Frobenious norm of a matrix orthogonally invariant?
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