Use the Inverse Formula $$A ^ { - 1 } = \frac { 1 } { a d - b c } \left[ \begin{array} { c c } d & - b \\- c & a\end{array} \right]$$

Multiple Choice

Use the inverse formula $$A ^ { - 1 } = \frac { 1 } { a d - b c } \left[ \begin{array} { c c } d & - b \\- c & a\end{array} \right]$$ to find the inverse of the 2×2 matrix (if it exists) .​ $$\left[ \begin{array} { c c } 6 & 7 \\- 5 & 13\end{array} \right]$$ ​

A) ​ $$\frac { 1 } { 113 } \left[ \begin{array} { c c } 13 & - 7 \\5 & 6\end{array} \right]$$
B) ​ $$\frac { 1 } { 113 } \left[ \begin{array} { c c } - 13 & 7 \\5 & - 6\end{array} \right]$$
C) ​ $$\frac { 1 } { 113 } \left[ \begin{array} { c c } - 13 & - 7 \\5 & 6\end{array} \right]$$
D) ​ $$\frac { 1 } { 113 } \left[ \begin{array} { c c } 13 & 7 \\5 & 6\end{array} \right]$$
E) ​ $$\frac { 1 } { 113 } \left[ \begin{array} { c c } - 13 & - 7 \\- 5 & - 6\end{array} \right]$$