Question: Let u and v be nonzero vectors in R. In Section 5.3 we defined the angle between u and v to be the angle Î¸

Let u and v be nonzero vectors in R". In Section 5.3 we defined the angle between u and v to be the angle Î¸ such that

A linear operator L: Rn †’ Rn is called angle preserving if the angle between u and v is the same as that between L(u) and L(v). Prove that if L is inner product preserving (see Exercise 16), then it is angle preserving.

(u, v) cos =

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