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if A = [[cos theta, sin theta],[-sin theta, cos theta]] where theta = (2pi)/(7) then sum_(r=1)^(6) A^(r) = |
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Answer» `[[1,0],[0,1]]` `=[[COS THETA + cos 2 theta + cos 3 theta + cos 4 theta + cos 5 theta + cos 6 theta""sin theta + sin 2 theta+ sin 3theta+ sin 4 theta + 5 sin theta + sin 6 theta],[-[sin theta + sin 2 theta + sin theta + sin 4 theta+ sin 5 theta+ sin 6theta]"" cos theta + cos 2 theta + cos 3 theta + cos 4 theta + cos 5 theta + cos 6 theta]]` `=[[-1,0],[0,-1]]` |
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