Join the Most Relevant JEE Main 2025 Test Series & get 99+ percentile! Join Now
Search any question & find its solution
Question: Answered & Verified by Expert
If each element in a row of a determinant is multiplied by the same factor $\mathrm{r}$, then the value of the determinant:
MathematicsDeterminantsNDANDA 2012 (Phase 2)
Options:
  • A is multiplied by $\mathrm{r}^{3}$.
  • B is increased by $3 \mathrm{r}$
  • C remains unchanged
  • D is multiplied by r
Solution:
2342 Upvotes Verified Answer
The correct answer is: is multiplied by r
As we know that if each element of any row (or column) of a determinant is multiplied by the same number, then the value of determinant is multiplied by that number.

Looking for more such questions to practice?

Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.