Let A be an II x 1/ orthogonal matrix. and let L : R" -+ R" be the linear operator
Chapter 7, Problem 11(choose chapter or problem)
Let A be an II x 1/ orthogonal matrix. and let L : R" -+ R" be the linear operator associated with A: that is. L{x) = Ax for x in R" . Let 0 be the angle between vectors x and yin R". Prove that the angle between L(x) and L(y ) is also O.
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