(a) Use the result in Exercise 14 to prove that multiplication by a orthogonal matrix is

Chapter 7, Problem 15

(choose chapter or problem)

(a) Use the result in Exercise 14 to prove that multiplication by a orthogonal matrix is either a reflection or a reflection followed by a rotation about the x-axis. (b) Prove that multiplication by Ais a rotation if and that a reflection followed by a rotation if .

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