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Question 250010
JEE Mathematics · Medium

Matrices and Determinants: Skew-symmetric MCQ

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Skew-symmetricMediumQuestion 250010

Question

For a skew-symmetric matrix A of odd order, det(A) is:
  1. A
    0
    Correct
  2. B
    1
  3. C
    −1
  4. D
    Positive

Correct answer

0

Explanation

For a skew-symmetric matrix: det(A) = det(Aᵀ) = det(−A) = (−1)ⁿ det(A). If n is odd: det(A) = −det(A) → 2det(A) = 0 → det(A) = 0.

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