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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_isum_j a_(i j)` .

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Given: `A=[a_(i j)]` is a skew-symmetric matrix
Then
`sum_isum_j a_(i j)= sum_i \sum_{j le i} a_(i j)+sum_isum_(j=i) a_(i j)+sum_isum_(j ge i) a_(i j)`

`sum_isum_j a_(i j)= sum_isum_(j le i) a_(i j)+sum_isum_(j=i) a_(i j)+sum_isum_(j ge i) a_(ji)`

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RD SHARMA-ALGEBRA OF MATRICES-Solved Examples And Exercises
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