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📐 Mathematics  ·  Determinants  ·  JEE

By applying row operations, adding a multiple of one row to another:

Answer: Does not change the determinant.

  • A Doubles the determinant value each time
  • B Halves the determinant value each time
  • C Negates the determinant, flipping its sign
  • D Does not change the determinant

Correct answer: D. Does not change the determinant

Explanation: Adding a multiple of one row to another row does not change the value of the determinant.

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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