If A is a skew symmetric matrix, then which of the following is/are true?
A
(A7)T=−A7
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B
(A4)T=−A4
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C
(A8)T=A8
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D
(A11)T=A11
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Solution
The correct option is C(A8)T=A8 A is a skew symmetric matrix ⇒AT=−A ⇒(An)T=(AT)n =(−A)n={An,if nis even−An,if nis odd ∴(A7)T=−A7,(A4)T=A4,(A8)T=A8 and (A11)T=−A11