Assume that A is a matrix with four rows. Find the elementary matrix E such that E A gives the matrix resulting from A after the given row operation is performed. Then find $E^{−1}$ and give the elementary row operation corresponding to $E^{−1}$.
$R_{1}\Leftrightarrow R_{3}$

$E =$ $\left[\Rule{0pt}{4.8em}{0pt}\right.$$\left]\Rule{0pt}{4.8em}{0pt}\right.$

$E^{-1} =$ $\left[\Rule{0pt}{4.8em}{0pt}\right.$$\left]\Rule{0pt}{4.8em}{0pt}\right.$

The elementary row operation corresponding to $E^{-1}$ is:

A. $R_{3}\Leftrightarrow R_{2}$

B. $R_{1}\Leftrightarrow R_{2}$

C. $R_{1}\Leftrightarrow R_{3}$