Question

Let ω - 1/2 + i(√3/2). then, the  value of the determinant

|(1, 1, 1), (1, - 1 - ω², ω²), (1, ω², ω⁴)|

(A) 3ω

(B) 3ω(ω - 1)

(C) 3ω²

(D) 3ω(1 - ω)

Answer 1

Answer is (B) 3ω(ω - 1)

Since 1 + ω + ω² = 0, the given determinant is