If $F(\alpha ) = \begin{bmatrix} \cos \alpha & - \sin \alpha & 0 \\ \sin \alpha & \cos \alpha & 0 \\ 0 & 0 & 1 \end{bmatrix}$ and $G(\beta ) = \begin{bmatrix} \cos \beta & 0 & \sin \beta \\ 0 & 1 & 0 \\ - \sin \beta & 0 & \cos \beta \end{bmatrix}$,then $[F(\alpha ) G(\beta )]^{-1} = $

  • A
    $F(\alpha ) - G(\beta )$
  • B
    $- F(\alpha ) - G(\beta )$
  • C
    $[F(\alpha )]^{-1} [G(\beta )]^{-1}$
  • D
    $[G(\beta )]^{-1} [F(\alpha )]^{-1}$

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