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The matrix A=[01−3−100300]A = \begin{bmatrix} 0 & 1 & -3 \\ -1 & 0 & 0 \\ 3 & 0 & 0 \end{bmatrix} is a

Solution

✅ Correct Option: 3

All diagonal entries are 0 and aij=−ajia_{ij} = -a_{ji} for all entries: a12=1,a21=−1a_{12}=1, a_{21}=-1; a13=−3,a31=3a_{13}=-3, a_{31}=3; a23=0,a32=0a_{23}=0, a_{32}=0. So AT=−AA^T = -A, making it skew-symmetric.

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