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(a) Show that the matrix\left[ \begin{array}{cc}{\cos \theta} & {\sin \theta} \\ {-\sin \theta} & {\cos \theta}\end{array}\right]is orthogonal. |
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Answer» orthogonal means the determinant is 1 or -1hence determinant of this matrix iscos^2thwta+sin^2thwta=1 |
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