Matrix,complex no.s and relations

Algebra Level 3

E={(a,b,c)∈ R^3 : determinant of

[ w w a 1]
[ 0 c 1]
[ 1 -b w w ] }

(3*3 matrix) where w w is cube root of unity then E is

a straight line in R^3 a nonempty finite set a plane in R^3 an empty set

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