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NDA 2024
Exam
NDA
Year
2024
Subject
Mathematics
Chapter
Matrices

NDA 2024 · Mathematics · Matrices

If P is a skew-symmetric matrix of order 3 , then what is (P) equal...

If P is a skew-symmetric matrix of order 3 , then what is det⁡⁡(P)\operatorname\det(\mathrm{P}) equal to?

Options

  1. A−1-1
  2. B00
  3. C11
  4. D33

Correct answer

B. 00

Step-by-step solution

Weknowthat,determinantofanyskewsymmetricmatrixwithoddorderisalwayszero.Hence,determinantofskewsymmetricmatrix(3×3We know that, determinant of any skew symmetric matrix with odd order is always zero. Hence, determinant of skew symmetric matrix (3 \times 3 ) will be zero.
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