If F(x)=⎡⎢⎣cosx−sinx0sinxcosx0001⎤⎥⎦ and G(x)=⎡⎢⎣c – InterviewSolution

1.	If F(x)=⎡⎢⎣cosx−sinx0sinxcosx0001⎤⎥⎦ and G(x)=⎡⎢⎣cosx0sinx010−sinx0cosx⎤⎥⎦, then [F(x).G(x)]−1 is equal to:
Answer» If $F (x) = ⎡ ⎢ ⎣ \begin{matrix} cos x & - sin x & 0 sin x & cos x & 0 0 & 0 & 1 \end{matrix} ⎤ ⎥ ⎦$ and $G (x) = ⎡ ⎢ ⎣ \begin{matrix} cos x & 0 & sin x 0 & 1 & 0 - sin x & 0 & cos x \end{matrix} ⎤ ⎥ ⎦,$ then $[F (x) . G (x)]^{- 1}$ is equal to:

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