Use Row Reduction to Find the Inverse of the Given $\left[ \begin{array} { l l } 2 & 2 \\8 & 8\end{array} \right]$

Multiple Choice

Use row reduction to find the inverse of the given matrix, if it exists, and check your answer by multiplication. $\left[ \begin{array} { l l } 2 & 2 \\8 & 8\end{array} \right]$

A) $\left[ \begin{array} { c } \frac { 1 } { 8 } - \frac { 1 } { 2 } \\- \frac { 1 } { 8 } \quad \frac { 1 } { 2 }\end{array} \right.$
B) $\left[ \begin{array} { c c } 2 & - 8 \\- 2 & 8\end{array} \right]$
C) $\left[ \begin{array} { c c } 2 & - 2 \\- 8 & 8\end{array} \right]$
D) $\left[\begin{array} { l } \frac { 1 } { 8 } &- \frac { 1 } { 8 } \\- \frac { 1 } { 2 } &\frac { 1 } { 2 } \\\end{array}\right]$
E) The inverse matrix does not exist.