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For a skew symmetric even ordered matrix A of integers, which of the following will not hold true?

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For a skew symmetric even ordered matrix A of integers, which of the following will not hold true?

(a) det(A) = 9

(b) det(A) = 81

(c) det(A) = 7

(d) det(A) = 4

This question was addressed to me in semester exam.

The question is from Properties of Matrices in section Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

1 Answer

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Right option is (c) det(A) = 7

To explain I would say: Determinant of a skew symmetric even ordered matrix A  is a perfect square.

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