What is the determinant of a skew-symmetric matrix of odd order? A. 1 B. -1 C. 0 D. Depends on elements Answer: C) 0 Explanation: For a skew-symmetric matrix A, Aᵀ = −A. If order n is odd, |Aᵀ| = |−A| = (−1)ⁿ|A| = −|A|. Thus 2|A| = 0, giving |A| = 0.

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What is the determinant of a skew-symmetric matrix of odd order?

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What is the determinant of a skew-symmetric matrix of odd order?

Answer: C) 0

Explanation: For a skew-symmetric matrix A, Aᵀ = −A. If order n is odd, |Aᵀ| = |−A| = (−1)ⁿ|A| = −|A|. Thus 2|A| = 0, giving |A| = 0.