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If A is a 3 x 3 skew-symmetric matrix, then trace of A is equal to

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a

-1

b

1

c

A

d

0

answer is C.

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Detailed Solution

As A is a skew-symmetric matrix AT=−A⇒ aii=0∀i⇒ tr⁡(A)=0 Also |A|=AT=|−A|=(−1)3|A|⇒ 2|A|=0⇒ |A|=0

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