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6 Nov 2019
Let omega_4 = e^-pi/2 i. Show that omega^4 _4 = 1 and 1 + omega^k _4 + (omega^k _4)^2 + (omega^k _4)^3 = 0 for any k. Show that the columns of A are orthogonal to each other A = (1 1 1 1 1 omega_4 omega^2 _4 omega^3 _4 1 omega^2 _4 omega^4 _4 omega^6 _4 1 omega^3 _4 omega^6 _4 omega^9 _4). Show transcribed image text
Let omega_4 = e^-pi/2 i. Show that omega^4 _4 = 1 and 1 + omega^k _4 + (omega^k _4)^2 + (omega^k _4)^3 = 0 for any k. Show that the columns of A are orthogonal to each other A = (1 1 1 1 1 omega_4 omega^2 _4 omega^3 _4 1 omega^2 _4 omega^4 _4 omega^6 _4 1 omega^3 _4 omega^6 _4 omega^9 _4).
Show transcribed image text Irving HeathcoteLv2
15 May 2019
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