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📐 Mathematics  ·  Determinants  ·  JEE

If a row of a matrix is multiplied by scalar k, its determinant:

Answer: Becomes k x det.

  • A Remains unchanged
  • B Becomes det/k
  • C Becomes k x det
  • D Becomes k<sup>2</sup> x det

Correct answer: C. Becomes k x det

Explanation: Multiplying one row by k multiplies the determinant by k. New det = k x original det.

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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