. Let A = cos sin sin cos (a) Show that A2 = cos 2 sin 2 sin 2 cos 2 and A3 = cos 3 sin
Chapter 8, Problem 2(choose chapter or problem)
. Let A = cos sin sin cos (a) Show that A2 = cos 2 sin 2 sin 2 cos 2 and A3 = cos 3 sin 3 sin 3 cos 3 (b) Based on your answer to part (a), make a guess at the form of the matrix An for any positive integer n. (c) By considering the geometric effect of multiplication by A, obtain the result in part (b) geometrically.
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