The value of the determinant of a matrix A of order 3 is 3. If C is the matrix of cofactors of the matrix A, then what is the value of determinant of C^2?

NDA 2023 Mathematics question

The value of the determinant of a matrix of order 3 is 3. If is the matrix of cofactors of the matrix , then what is the value of determinant of ?

Answer: (C)

The cofactor matrix is the transpose of , so $ C =

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Question ID VK-029670