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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) = 4The 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

Answer»

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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