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Question
If A and B are symmetric matrices of same order and X= AB + BA and Y = AB – BA, then (XY)T is equal to
Options:
A .  XY
B .  YX
C .  – YX
D .  None of these
Answer: Option C
:
C
X=AB+BAXT=X
andY=ABBAYT=Y
Now,(XY)T=YT×XT=YX

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