Show that the matrix $A=\left[\begin{array}{ccc}0 & \mathrm{a} & \mathrm{b} \\ -\mathrm{a} & 0 & \mathrm{c} \\ -\mathrm{b} & -\mathrm{c} & 0\end{array}\right]$ is skew-symmetric.
HINT: Show that $A^{\prime}=-A$.
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