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Exercise 6.11.10

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If $V$ is a two-dimensional real inner product space, we get the result by the Corollary after Theorem 6.45. If $V$ is a three-dimensional real inner product space and $U, T$ are two rotations, we have $\det (UT) = \det (U) \det (T) = 1$ . By the discussion in Exercise 6.11.7(a), we know that $UT$ should be a rotation.

jephianlin

2011-06-27 00:00

Exercise 6.11.10

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