Let w=- 1 2 +i 3 2 , i= -1 , then the value of vmatrix 1&1&1 1&-1- ^ 2 & ^ 2 1& ^ 2 & ^ 4 vmatrix is

MHT CET 2024 Mathematics question

Let , then the value of is

Answer: (B)

is a primitive cube root of unity: , . So and . The determinant is . Expanding along the first row:

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Question ID VK-096747