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📐 Mathematics  ·  Determinants  ·  JEE

If A is a 3×3 matrix with det(A) = 4, then det(A⁻¹) equals:

Answer: 1/4.

  • A 4
  • B 1/4
  • C 16
  • D 1/16

Correct answer: B. 1/4

Explanation: det(A⁻¹) = 1/det(A) = 1/4.

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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