UPSC NDA Math Model Paper 1

Given: A is skew symmetric matrix
As we know that, if A is a skew symmetric matrix i.e A=−At
⇒(A2)t=(At)2
∵ A is skew symmetric matrix
⇒(A2)t=(−A)2=A2
So, A2 is a symmetric matrix.
Hence, option D is the correct answer.