Find the Inverse of the Matrix $$\left[ \begin{array} { c c } 1 & 4 \\- 4 & - 1\end{array} \right]$$

Multiple Choice

Find the inverse of the matrix. $$\left[ \begin{array} { c c } 1 & 4 \\- 4 & - 1\end{array} \right]$$

A) $\left[ \begin{array} { c c } \frac { 1 } { 15 } & - \frac { 4 } { 15 } \\ \frac { 4 } { 15 } & \frac { 1 } { 15 } \end{array} \right]$

B)
$\left[ \begin{array} { c c } - \frac { 1 } { 15 } & - \frac { 4 } { 15 } \\ - \frac { 4 } { 15 } & \frac { 1 } { 15 } \end{array} \right]$

C)
$\left[\begin{array}{cc}-\frac{1}{15} & \frac{4}{15} \\\frac{4}{15} & \frac{1}{15}\end{array}\right]$

D) $\left[ \begin{array} { c c } - \frac { 1 } { 15 } & - \frac { 4 } { 15 } \\ \frac { 4 } { 15 } & \frac { 1 } { 15 } \end{array} \right]$


E) $\left[ \begin{array} { c c } - \frac { 1 } { 15 } & - \frac { 4 } { 15 } \\ \frac { 4 } { 15 } & - \frac { 1 } { 15 } \end{array} \right]$