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If A and B are two skew-symmetric matrices of order n, then, (a) AB is a skew-symmetric matrix

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If A and B are two skew-symmetric matrices of order n, then,

(a) AB is a skew-symmetric matrix
(b) AB is a symmetric matrix
c) AB is a symmetric matrix if A and B commute 
(d)None of these

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(c) is the correct option

We are given A’ = -A and B’ = -B; Now, (AB)’ = B’;A’ = (-B) (-A) = BA = AB, if A and B commute.

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