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The diagonal entries of any skew-symmetric matrix are:
AAlways $1$
BAlways $0$
CEqual to each other but not necessarily $0$
DAlways negative
Answer & Solution
Correct 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.
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