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What is the value of a skew-symmetric determinant of odd order (i.e. a determinant whose entries satisfy a_ij + a_ji = 0 for all i, j)?
- a perfect square
- negative
- +1
- 0
Correct answer: 0
Solution
For a skew-symmetric matrix of odd order n, det(A) = (-1)ⁿ det(A) = -det(A), forcing det(A) = 0.
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