Formula

Cube roots of unity in determinants

\omega^3 = 1, \qquad 1 + \omega + \omega^2 = 0

$\omega$: a non-real cube root of unity

Determinants built from cube roots of unity collapse through these two relations, usually by adding all columns so one becomes zero.

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#1NDA → Mathematics → Matrices & Determinants → Special Determinants — Trig, Complex, Roots of Unity, Polynomial
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