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
Answer: Option C
:
C
X=AB+BA⇒XT=X
andY=AB−BA⇒YT=−Y
Now,(XY)T=YT×XT=−YX
Was this answer helpful ?
:
C
X=AB+BA⇒XT=X
andY=AB−BA⇒YT=−Y
Now,(XY)T=YT×XT=−YX
Was this answer helpful ?
More Questions on This Topic :
Question 4. If A=⎡⎢⎣123⎤⎥⎦ then AA' = ....
Question 8. If A=[cosαsinα−sinαcosα], then A2=....
Question 10. If A=⎡⎢⎣12101−13−11⎤⎥⎦, then....
Submit Solution