Mark the correct alternative in the following: If ω is a non-real cube root of unity and n is not a multiple of 3, then is equal to

Question

Philoid · Accepted Answer

Assume that n=2(not multiple of 3)

expend the determinant

∆=1(1-w³)-w² (w-w⁴ )+w(w² -w² )

∆=1- w³- w³+w⁶ + w³- w³

∆=0