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📐 Mathematics  ·  Determinants  ·  JEE

Interchanging two rows of a determinant changes its:

Answer: sign.

  • A sign
  • B magnitude
  • C order
  • D nothing

Correct answer: A. sign

Explanation: Swapping two rows (or columns) multiplies the determinant by −1, changing only its sign.

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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