Find the Inverse, If It Exists, for the Matrix $$\left[ \begin{array} { l l l } 5 & - 2 & 4 \\10 & - 3 & 8 \\5 & - 1 & 4\end{array} \right]$$

Find the inverse, if it exists, for the matrix.
- $$\left[ \begin{array} { l l l } 5 & - 2 & 4 \\10 & - 3 & 8 \\5 & - 1 & 4\end{array} \right]$$

A)
$$\left[ \begin{array} { l l l } \frac { 2 } { 5 } & \frac { 1 } { 5 } & - \frac { 1 } { 2 } \\\frac { 1 } { 2 } & \frac { 4 } { 3 } & \frac { 5 } { 8 } \\1 & - 4 & \frac { 1 } { 4 }\end{array} \right]$$
B) The inverse does not exist.
C)
$$\left[ \begin{array} { l l l } \frac { 1 } { 5 } & \frac { 1 } { 10 } & \frac { 1 } { 4 } \\\frac { 1 } { 10 } & - \frac { 1 } { 3 } & \frac { 1 } { 8 } \\\frac { 1 } { 5 } & - 1 & \frac { 1 } { 4 }\end{array} \right]$$
D)
$\left[\begin{array}{ccc}5 & 10 & 5 \\-2 & -3 & -1 \\4 & 8 & 4\end{array}\right]$

Correct Answer:

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