Power of iota and cube root of unityHard
Complex Number Modulus and Determinant
Let integers a, b ∈ [–3, 3] be such that a + b ≠ 0. Then the number of all possible ordered pairs (a, b), for which 
= 1 and ![\left| {\begin{array}{*{20}{c}} {z + 1}&\omega &{{\omega ^2}}\\[0.9em] \omega &{z + {\omega ^2}}&1\\[0.9em] {{\omega ^2}}&1&{z + \omega } \end{array}} \right|](https://d2lbh14zkcqlst.cloudfront.net/content_data/content_images/173994819393534419.png)
= 1, z ∈ C, where ω and ω2 are the roots of x2 + x + 1 = 0, is equal to _______.
= 1 and = 1, z ∈ C, where ω and ω2 are the roots of x2 + x + 1 = 0, is equal to _______.Ask about this question