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Show that the elements on the main diago...

Show that the elements on the main diagonal of a skew-symmetric matrix are all zero.

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Let `A= [a_{ij}]` be a skew-symmetric matrix. Then,
`a_{i j}=-a_{j i}` for all i, j
`a_{i i}=-a_{i i}` for all values of i
`2a_{ii}=0`
`a_{i i}=0` for all values of i
`Rightarrow a_{11}= a_{22}=a_{33}=ldots=a_{n n}=0`
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