Question

If ω = cis 2π/3, then the number of distinct roots of |(z + 1,ω,ω²),(ω,z + ω²,1),(ω²,1,z + ω)| = 0 are ___

(a) 1 

(b) 2

(c) 3 

(d) 4

Answer 1

(a) 1

z = 0

One distinct root.