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Question

If a matrix A is skew - symmetric of order 3, then A4 is

A
symmetric
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B
skew-symmetric
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C
null matrix
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Solution

The correct option is A symmetric
Since, A is skew symm.
AT=A(A2)T=(A.A)T=AT.AT=(A)(A)=A2 Symm.(A4)T=(A2.A2)T=(A2)T.(A2)T=A2.A2=A4 Symm.

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