Let F(α)=⎡⎢⎣cosα−sinα0sinαcosα0001⎤⎥⎦, where αϵR. Then [F(α)]−1 is equal to

Let F(α)=⎡⎢⎣cosα−sinα0sinαcosα0001⎤⎥⎦, where αϵR.

1.	Let F(α)=⎡⎢⎣cosα−sinα0sinαcosα0001⎤⎥⎦, where αϵR. Then [F(α)]−1 is equal to
Answer» Let $F (α) = ⎡ ⎢ ⎣ \begin{matrix} c o s α & - s i n α & 0 s i n α & c o s α & 0 0 & 0 & 1 \end{matrix} ⎤ ⎥ ⎦$ , where $α ϵ R .$ Then $[F (α)]^{- 1}$ is equal to