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📐 Mathematics  ·  Determinants  ·  JEE

For a 3×3 matrix A with det(A) = 2, the value of det(adj(adj A)) is:

Answer: 16.

  • A 4
  • B 8
  • C 16
  • D 32

Correct answer: C. 16

Explanation: det(adj(adj A)) = det(A)^((n−1)²) = 2<sup>4</sup> = 16 for n = 3.

Concept context

Evaluation of determinants, cofactors, adjoint, inverse of matrix, Cramer's rule and area applications. Always in board and JEE.

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