The diagonal entries of any skew-symmetric matrix are:

Question

Accepted Answer

B. Always $0$

A skew-symmetric matrix satisfies $a_{ij} = -a_{ji}$ for all $i, j$.
Setting $i = j$ gives $a_{ii} = -a_{ii}$, hence $2a_{ii} = 0$, so $a_{ii} = 0$.
Every diagonal entry of a skew-symmetric matrix is therefore zero.

Answer

Always $1$

Answer

Equal to each other but not necessarily $0$

Answer

Always negative

The diagonal entries of any skew-symmetric matrix are:

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