A matrix \(A\) is skew-symmetric if \(A = -A^T\), where \(A^T\) is the transpose of \(A\). For a \(2 \times 2\) matrix, we can represent it as:
\[
A = \begin{pmatrix} a & b \\ c & d \end{pmatrix}
\]
For \(A\) to be skew-symmetric, we must have:
\[
A = -A^T =
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