What is the value of the determinant vmatrix i&i^2&i^3 ^4&i^6&i^8 ^9&i^ 12 &i^ 15 vmatrix where i= -1 ?

NDA 2020 Mathematics question

What is the value of the determinant where ?

Answer: (D)

Simplifying the powers: . Expanding along the

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Question ID VK-029183