Question: The set of reflection matrices is defined by S()=(cos2sin2sin2cos2). a) Show how S(4) transforms the vector (11)T. b) Show that S() does not change any

The set of reflection matrices is defined by

S()=(cos2sin2sin2cos2).

a) Show how S(4) transforms the vector (11)T.

b) Show that S() does not change any vectors that happen to lie on the axis of reflection.

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