Question: If A e Cmxm preserves length (||A||2 = ||||2 for all x E C), then A is unitary. Give an alternative proof using the

If A e Cmxm preserves length (||A||2 = ||||2 for all x

If A e Cmxm preserves length (||A||2 = ||||2 for all x E C"), then A is unitary. Give an alternative proof using the SVD.

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