Question: Let A be a m x n matrix where AT A = In. Show that || Ax|| = ||x|| for any x in Rn.

Let A be a m x n matrix where AT A =

Let A be a m x n matrix where AT A = In. Show that || Ax|| = ||x|| for any x in Rn. Hint: First show that || Ax|| = ||x|| and then take the square root of both sides.

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