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For a skew symmetric odd ordered matrix A of integers, which of the following will hold true?

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For a skew symmetric odd ordered matrix A of integers, which of the following will hold true?

(a) det(A) = 9

(b) det(A) = 81

(c) det(A) = 0

(d) det(A) = 4

The question was posed to me in semester exam.

The doubt is from Properties of Matrices topic in portion Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

1 Answer

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Correct choice is (c) det(A) = 0

For explanation: Determinant of a skew symmetric odd ordered matrix A is always 0.

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