Use the Row Reduction Method to Find the Inverse, If $A = \left[ \begin{array} { l l } 2 & 5 \\1 & 3\end{array} \right]$

Multiple Choice

Use the row reduction method to find the inverse, if it exists.
$A = \left[ \begin{array} { l l } 2 & 5 \\1 & 3\end{array} \right]$

A) $\left[ \begin{array} { l l } - 2 & - 5 \\- 1 & - 3\end{array} \right]$
B) $\left[ \begin{array} { c c } - 3 & 5 \\1 & - 2\end{array} \right]$
C) $\left[ \begin{array} { l l } \frac { 1 } { 2 } & 0 \\0 & \frac { 1 } { 3 }\end{array} \right]$
D) $\left[ \begin{array} { c c } 3 & - 5 \\- 1 & 2\end{array} \right]$
E) no inverse exists