Use Row Reduction to Find the Inverse of the Given $\left[ \begin{array} { l l } 3 & 1 \\5 & 2\end{array} \right]$

Multiple Choice

Use row reduction to find the inverse of the given matrix, if it exists. Check your answers by multiplication.
$\left[ \begin{array} { l l } 3 & 1 \\5 & 2\end{array} \right]$

A) $\left[ \begin{array} { c c } 2 & - 1 \\- 5 & 3\end{array} \right]$
B) $\left[ \begin{array} { c c } - 3 & 1 \\5 & - 2\end{array} \right]$
C) $\left[ \begin{array} { c c } 2 & 5 \\- 1 & 3\end{array} \right]$
D) $\left[ \begin{array} { c c } 1 & - 3 \\- 2 & 5\end{array} \right]$
E) The inverse matrix does not exist.