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

Multiple Choice

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

A) ​​ $$\left[ \begin{array} { c c } \frac { 4 } { 15 } & \frac { 1 } { 15 } \\\\\frac { 1 } { 15 } & \frac { 4 } { 15 }\end{array} \right]$$
B) ​ $$\left[ \begin{array} { l } - \frac { 4 } { 15 } - \frac { 1 } { 15 } \\- \frac { 1 } { 15 } - \frac { 4 } { 15 }\end{array} \right]$$
C) ​ $$\left[ \begin{array} { c c } \frac { 4 } { 15 } & - \frac { 1 } { 15 } \\- \frac { 1 } { 15 } & \frac { 4 } { 15 }\end{array} \right.$$
D) ​ $$\left[ \begin{array} { c c } - \frac { 4 } { 15 } & \frac { 1 } { 15 } \\\frac { 1 } { 15 } & - \frac { 4 } { 15 }\end{array} \right]$$ ​
E) ​ $$\left[ \begin{array} { c c } \frac { 4 } { 15 } & 0 \\0 & \frac { 4 } { 15 }\end{array} \right]$$