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If A=[a(i j)] is a skew-symmetric mat...

If `A=[a_(i j)]` is a skew-symmetric matrix, then write the value of `sum_i a_(i i)` .

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Given: `A=[a_(i j)]` is a skew-symmetric matrix
Then
`sum_i a_(i i)=(a_(11)+a_(22)+.......+a_(nn))`
`A=[a_(ij)]_(nxxn)` where `a_(ij)` is the element of `i^(th)` row and `j^(th)` column of A matrix where `i<=n,j<=n`
As Ais skew symmetric then
`A^T=-A`
Then `A^T=[b_(ij)]=[a_(ji)]`
...
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