What is the inverse of the matrix?$A = \left( {\begin{array}{*{20}{c}} {\cos \theta }&{\sin \theta }&0\ { - \sin \theta }&{\cos \theta }&0\ 0&0&1 \end{array}} \right)$

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TuteeHUB · Accepted Answer

$\left( {\begin{array}{*{20}{c}} {\cos \theta }&0&{ - \sin \theta }\ 0&1&0\ {\sin \theta }&0&{\cos \theta } \end{array}} \right)$

TuteeHUB · Answer

$\left( {\begin{array}{*{20}{c}} {\cos \theta }&{ - \sin \theta }&0\ {\sin \theta }&{\cos \theta }&0\ 0&0&1 \end{array}} \right)$

TuteeHUB · Answer

$\left( {\begin{array}{*{20}{c}} 1&0&0\ 0&{\cos \theta }&{ - \sin \theta }\ 0&{\sin \theta }&{\cos \theta } \end{array}} \right)$

TuteeHUB · Answer

$\left( {\begin{array}{*{20}{c}} {\cos \theta }&{\sin \theta }&0\ { - \sin \theta }&{\cos \theta }&0\ 0&0&1 \end{array}} \right)$

1.	What is the inverse of the matrix?\(A = \left( {\begin{array}{*{20}{c}} {\cos \theta }&{\sin \theta }&0\\ { - \sin \theta }&{\cos \theta }&0\\ 0&0&1 \end{array}} \right)\)
A.	\(\left( {\begin{array}{*{20}{c}} {\cos \theta }&{ - \sin \theta }&0\\ {\sin \theta }&{\cos \theta }&0\\ 0&0&1 \end{array}} \right)\)
B.	\(\left( {\begin{array}{*{20}{c}} {\cos \theta }&0&{ - \sin \theta }\\ 0&1&0\\ {\sin \theta }&0&{\cos \theta } \end{array}} \right)\)
C.	\(\left( {\begin{array}{*{20}{c}} 1&0&0\\ 0&{\cos \theta }&{ - \sin \theta }\\ 0&{\sin \theta }&{\cos \theta } \end{array}} \right)\)
D.	\(\left( {\begin{array}{*{20}{c}} {\cos \theta }&{\sin \theta }&0\\ { - \sin \theta }&{\cos \theta }&0\\ 0&0&1 \end{array}} \right)\)
Answer» B. \(\left( {\begin{array}{*{20}{c}} {\cos \theta }&0&{ - \sin \theta }\\ 0&1&0\\ {\sin \theta }&0&{\cos \theta } \end{array}} \right)\)

What is the inverse of the matrix?\(A = \left( {\begin{array}{*{20}{c}} {\cos \theta }&{\sin \theta }&0\\ { - \sin \theta }&{\cos \theta }&0\\ 0&0&1 \end{array}} \right)\)

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