Q142
Multiplication of matrices E and F is G. Matrices E and G are \[ E [ array*20c & - &0 \\ & &0 \\ 0&0&1 array ] and G [ array*20c 1&0&0 \\ 0&1&0 \\ 0&0&1 array ].\] What is the matrix F?
Multiplication of matrices E and F is G. Matrices E and G are {\text{E}} \equiv \left[ {\begin{array}{*{20}{c}}
{\cos \theta }&{ - \sin \theta }&0 \\
{\sin \theta }&{\cos \theta }&0 \\
0&0&1
\end{array}} \right]{\text{and G}} \equiv \left[ {\begin{array}{*{20}{c}}
1&0&0 \\
0&1&0 \\
0&0&1
\end{array}} \right].
What is the matrix F?
What is the matrix F?
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 }&{\cos \theta }&0 \\
{ - \cos \theta }&{\sin \theta }&0 \\
0&0&1
\end{array}} \right]
C.
\left[ {\begin{array}{*{20}{c}}
{\cos \theta }&{\sin \theta }&0 \\
{ - \sin \theta }&{\cos \theta }&0 \\
0&0&1
\end{array}} \right]
AnswerD.
\left[ {\begin{array}{*{20}{c}}
{\sin \theta }&{ - \cos \theta }&0 \\
{\cos \theta }&{\sin \theta }&0 \\
0&0&1
\end{array}} \right]
Answer: Option C
Solution
Answer: Option C
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