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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) = 4This 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 |
Answer» RIGHT option is (c) det(A) = 7 To explain I would SAY: Determinant of a skew SYMMETRIC even ordered MATRIX Ais a perfect SQUARE. |
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