The result in Exercise 15 has an analog for orthogonal matrices: It can be proved that

Chapter 7, Problem 18

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The result in Exercise 15 has an analog for orthogonal matrices: It can be proved that multiplication by a orthogonal matrix A is a rotation about some axis if and is a rotation about some axis followed by a reflection about some coordinate plane if . Determine whether multiplication by A is a rotation or a rotation followed by a reflection. (a) (b)

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