I'm not sure how to attack this problem at all. An isometric transformation preserves length of vectors, but I can't make any connections.
2026-03-30 06:32:41.1774852361
If the transformation T is an isometry, then the column vectors of [T] form an orthonormal set.
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Hint: Apply to the standard basis, which is orthonormal. You see, $T$, since defined on a finite dimensional vector space, also preserves angles, by the usual definition of isometry.