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📐 Mathematics  ·  Determinants  ·  JEE

If one row of a determinant is multiplied by a constant k, the determinant becomes:

Answer: k times the original value.

  • A k times the original value
  • B k squared times the value
  • C left entirely unchanged
  • D reduced to exactly zero

Correct answer: A. k times the original value

Explanation: Multiplying a single row by k multiplies the whole determinant by k.

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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