imo class 12 determinants

The determinant of a skew-symmetric matrix of odd order is always:

VAVidaara Admin Asked 6d ago 0 views 0 answers

The determinant of a skew-symmetric matrix of odd order is always:

  • A. 1
  • B. 0
  • C. −1
  • D. depends on elements

Answer: B) 0

Explanation: For odd order skew-symmetric matrix A, A' = −A. Taking determinant: |A| = (−1)ⁿ|A|. For odd n, |A| = −|A| → |A| = 0.

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