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📐 Mathematics  ·  Determinants  ·  JEE

For a 3×3 matrix A, the determinant of its adjoint |adj A| equals:

Answer: |A|².

  • A |A|²
  • B |A|
  • C |A|³
  • D 2|A|

Correct answer: A. |A|²

Explanation: For an n×n matrix, |adj A| = |A|ⁿ⁻¹, which is |A|² when 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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