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NDA2012MathematicsDeterminantsActual

If each element in a row of a determinant is multiplied by the same factor r , then the value of the determinant?

Options

  1. Ais multiplied by r^3
  2. Bis increased 3 r
  3. Cremains unchanged
  4. Dis multiplied by r

Correct answer

A. is multiplied by r^3

Step-by-step solution

If each element of a row (column) of a determinant is multiplied by a constant k , then the value of the new determinant is k^3 times the value of the original determinant.

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