Find the Inverse, If It Exists, for the Matrix $$\left[ \begin{array} { l l l } 2 & - 5 & 4 \\2 & - 4 & 7 \\4 & - 9 & 11\end{array} \right]$$

Multiple Choice

Find the inverse, if it exists, for the matrix.
- $$\left[ \begin{array} { l l l } 2 & - 5 & 4 \\2 & - 4 & 7 \\4 & - 9 & 11\end{array} \right]$$

A)
$$\left[ \begin{array} { c c c } 1 & 0 & \frac { 19 } { 2 } \\0 & 1 & 3 \\0 & - \frac { 1 } { 2 } & 0\end{array} \right]$$

B) The inverse does not exist.

C)
$\left[\begin{array}{lll}2 & 2 & 4 \\-5 & -4 & -9 \\4 & 7 & 11\end{array}\right]$

D)
$\left[\begin{array}{lll}1 & 0 & \frac{19}{2} \\0 & 1 & 3 \\0 & 0 & 0\end{array}\right]$