Question: Let A bean n ( n orthogonal matrix, and let L: Rn - Rn be the linear operator associated with A; that is, L(x) =

Let A bean n ( n orthogonal matrix, and let L: Rn -→ Rn be the linear operator associated with A; that is, L(x) = Ax for x in Rn. Let 9 be the angle between vectors x and y in R". Prove that the angle between L(x) and L(y) is also (?

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