Let A be a skew-symmetric matrix of odd order, then A is equal to

Let A be a skew-symmetric matrix of odd order, then A is equal to

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    Solution:

    Let A be a skew-symmetric matrix of odd order (2 n + l) say. Since A is skew-symmetric.

       AT=AAT=|A|AT=(1)2n+1|A|AT=|A||A|=|A|2|A|=0|A|=0

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