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 θ 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.

Transcribed Image Text:

(u, v) cos θ =