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CBSE Class 12 Math 2026 All Sets Solved Paper

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Question : 6 of 20
Marks: +1, -0
If A and B are skew symmetric matrices of same order, then which of the following matrices is also skew symmetric?
Solution:  
A and B are skew symetric matrix
AT=−A
BT=−B
(A) (AB)T=BTAT=BA
(B) (AB+BA)T=(AB)T+(BA)T
=BTAT+ATBT
=BA+AB
=AB+BA
(C) ((A+B)2)T=(AT+BT)2
=(−A−B)2
=(A+B)2
(D) (A−B)T=AT−BT
=−A+B
=−(A−B)
⇒(A−B) is a skew symmetric matrix.
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