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📐 Mathematics  ·  Determinants  ·  JEE

If two rows of a matrix are identical, its determinant is:

Answer: 0.

  • A 1
  • B Equal to the row sum
  • C 0
  • D Negative

Correct answer: C. 0

Explanation: If two rows (or two columns) of a matrix are identical, the determinant equals 0. Swapping them should negate det, but since they are identical, det = -det, so det = 0.

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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