Show that an orthogonal transformation L from Rn to Rw preserves angles: The angle

Chapter 5, Problem 29

(choose chapter or problem)

Show that an orthogonal transformation L from Rn to Rw preserves angles: The angle between two nonzero vectors v and w in Rfl equals the angle between L(v) and L(w). Conversely, is any linear transformation that preserves angles orthogonal?

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