If A is a skew-symmetric matrix of order 3, then the matrix A4 is
Options:
A .  
skew symmetric
B .  
symmetric
C .  
diagonal
D .  
none of those
Answer: Option B : B We are given that the matrix A is skew symmetric which implies that, AT=−A --------(1) (A4)T=(A.A.A.A.)T=ATATATAT (By applying the property of transpose of a matrix) ⇒ (-A) (-A) (-A) (-A) (Using equation (1)) =(−1)4A4=A4 i.e,(A4)T=(A4) A4 is symmetric.
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