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📐 Mathematics  ·  Determinants  ·  JEE

If det(A) = 5 and det(B) = 3, then det(AB) =

Answer: 15.

  • A 15
  • B 8
  • C 2
  • D 53

Correct answer: A. 15

Explanation: Multiplicative property of determinants: det(AB) = det(A) x det(B) = 5 x 3 = 15.

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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