A and B are square matrices of the same order. Which of the following is skewsymmetric?\

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Professor PC Thomas Classes · Answer

(c) Consider $\left(\frac{\mathrm{AB}^{T}-\mathrm{BA}^{T}}{2}ight)^{T}$\ $=\frac{B A^{T}-A B^{T}}{2}$\ $=\frac{1}{2}\left(\mathrm{AB}^{\mathrm{T}}-\mathrm{BA}^{\mathrm{T}}ight)$\ $	herefore \mathrm{AB}^{\mathrm{T}}-\mathrm{BA}^{\mathrm{T}}$ is skew symmetric\