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Q.

If A,B are symmetric matrices of the same order then AB−BA is

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a

Identity matrix

b

Symmetric matrix

c

Diagonal matrix

d

Skew symmetric matrix

answer is B.

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Detailed Solution

(AB−BA)'=(AB)'−(BA)'=B'A'−A'B'

=BA−AB

=−(AB−BA)

Is called skew symmetric matric

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