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 A is a square matrix such that $\mathrm{A}-\mathrm{A}^{\mathrm{T}}=0$, then which one of the following is correct?
MathematicsMatricesNDANDA 2006 (Phase 2)
Options:
  • A A must be a null matrix
  • B A must be a unit matrix
  • C A must be a scalar matrix
  • D None of the above
Solution:
1782 Upvotes Verified Answer
The correct answer is: None of the above
Since, A is a square matrix and $\mathrm{A}-\mathrm{A}^{\mathrm{T}}=0 \Rightarrow \mathrm{A}=\mathrm{A}^{\mathrm{T}}$
A is a symmetric matrix. Considering following two points.
$1.$ No two rows or two columns should be identical
and
$2.$ There should be two l's and one 0 , in every row or column. Such determinant can be found.

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.