Find the Inverse of the Matrix $$\left[ \begin{array} { r r r } 1 & 0 & 0 \\1 & 1 & 0 \\0 & - 9 & 1\end{array} \right]$$

Multiple Choice

Find the inverse of the matrix.
- $$\left[ \begin{array} { r r r } 1 & 0 & 0 \\1 & 1 & 0 \\0 & - 9 & 1\end{array} \right]$$

A) $\left[ \begin{array} { r r r } 1 & - 9 & 9 \\ 0 & 1 & 1 \\ 0 & 0 & 1 \end{array} \right]$
B) $\left[ \begin{array} { r r r } 1 & 0 & 0 \\ 1 & 1 & 0 \\ 0 & 0 & - 9 \end{array} \right]$
C) $\left[ \begin{array} { r r r } 1 & 0 & 0 \\ - 1 & 1 & 0 \\ - 9 & 9 & 1 \end{array} \right]$
D) $\left[ \begin{array} { r r r } 1 & 0 & 0 \\ - 9 & - 1 & 0 \\ 9 & 1 & 1 \end{array} \right]$