1.

What is the adjoint of the matrix \(\left( {\begin{array}{*{20}{c}} {\cos \left( { - \theta } \right)}&{ - \sin \left( { - \theta } \right)}\\ { - \sin \left( { - \theta } \right)}&{\cos \left( { - \theta } \right)} \end{array}} \right)\) ?

A. \(\left( {\begin{array}{*{20}{c}} {cos\theta }&{ - \sin \theta }\\ { - \sin \theta }&{cos\theta } \end{array}} \right)\)
B. \(\left( {\begin{array}{*{20}{c}} {\cos \theta }&{sin\theta }\\ {sin\theta }&{cos\theta } \end{array}} \right)\)
C. \(\left( {\begin{array}{*{20}{c}} {\cos \theta }&{sin\theta }\\ { - sin\theta }&{cos\theta } \end{array}} \right)\)
D. \(\left( {\begin{array}{*{20}{c}} {\cos \theta }&{ - \sin \theta }\\ {\sin \theta }&{\cos \theta } \end{array}} \right)\)
Answer» B. \(\left( {\begin{array}{*{20}{c}} {\cos \theta }&{sin\theta }\\ {sin\theta }&{cos\theta } \end{array}} \right)\)


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