Evaluate the determinant with rows (1, ω, ω²) and (ω, ω², 1) and (ω², 1, ω) where ω is a complex cube root of unity.
Evaluate the determinant with rows (1, ω, ω²) and (ω, ω², 1) and (ω², 1, ω) where ω is a complex cube root of unity.
- A. 0
- B. 1
- C. 3
- D. ω
Answer: A) 0
Explanation: Applying C1 → C1 + C2 + C3 makes the first column (1+ω+ω²), which is 0. Hence the determinant is 0.
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