Question: 2. (4) The complex numbers {wo, w, w2 ..., wn-1}, where 2TT W = 2mi = COS 27T + i sin n n are called

2. (4) The complex numbers {wo, w, w2 ..., wn-1}, where 2TT W = 2mi = COS 27T + i sin n n are called the nth roots of unity. For any positive integer n, these numbers are the n solutions to the equation z" = 11. Consider the n x n matrix, F, whose (j, k)-entry is Wik Fik = Vn Show that F is a unitary matrix

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