If A and B are symmetric matrices of the same order, then
(a) AB is a symmetric matrix
(b) A – Bis askew-symmetric matrix
(c) AB + BA is a symmetric matrix
(d) AB – BA is a symmetric matrix
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Step-by-step explanation:
Given that A and B are symmetric matrices; which means that, A' = A and B' = B. Also we are given that, AB = BA. Hence AB is symmetric.
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