# Solve this question: Q.21. Find the value of such that the matrix $\left[\begin{array}{ccc}2\mathrm{sin}\theta -1& \mathrm{sin}\theta & \mathrm{cos}\theta \\ \mathrm{sin}\left(\theta +\pi \right)& 2\mathrm{cos}\theta -\sqrt{3}& \mathrm{tan}\theta \\ \mathrm{cos}\left(\mathrm{\theta }-\mathrm{\pi }\right)& \mathrm{tan}\left(\mathrm{\pi }-\mathrm{\theta }\right)& 0\end{array}\right]$ is a skew symmetric matrix.

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