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NDA 2012
Exam
NDA
Year
2012
Subject
Mathematics
Chapter
Determinants

NDA 2012 · Mathematics · Determinants

If each element in a row of a determinant is multiplied by the same...

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

Options

  1. Ais multiplied by r3r^3
  2. Bis increased 3r3 r
  3. Cremains unchanged
  4. Dis multiplied by rr

Correct answer

A. is multiplied by r3r^3

Step-by-step solution

If each element of a row (column) of a determinant is multiplied by a constant kk, then the value of the new determinant is k3k^3 times the value of the original determinant.
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