1.

For, a 3xx3 skew-symmetric matrix A, show that adj A is a symmetric matrix.

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SOLUTION :`A=[{:(,0,a,b),(,-a,0,c),(,-b,-c,0):}] cot A=[{:(,c^(2),-BC^(2),CA),(,-bc,b^(2),-ab),(,ca,-ab,a^(2)):}]`
adj A=`=(cot A)'=[{:(,c^(2),-bc^(2),ca),(,-bc,b^(2),-ab),(,ca,-ab,a^(2)):}]` which is symmetric


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