Find the Inverse, If It Exists, for the Matrix $$\left[ \begin{array} { r r } - 6 & 6 \\- 2 & - 5\end{array} \right]$$

Find the inverse, if it exists, for the matrix.
- $$\left[ \begin{array} { r r } - 6 & 6 \\- 2 & - 5\end{array} \right]$$

A)
$$\left[ \begin{array} { r } - \frac { 5 } { 42 } - \frac { 1 } { 7 } \\\frac { 1 } { 21 } - \frac { 1 } { 7 }\end{array} \right]$$
B)
$\left[\begin{array}{c}-\frac{1}{7}-\frac{1}{7} \\\frac{1}{21}-\frac{5}{42}\end{array}\right]$
C)
$\left[\begin{array}{cc}-\frac{5}{42} & \frac{1}{7} \\-\frac{1}{21} & -\frac{1}{7}\end{array}\right]$
D)
$\left[\begin{array}{c}\frac{1}{21}-\frac{1}{7} \\-\frac{5}{42}-\frac{1}{7}\end{array}\right]$

Correct Answer:

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