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 $E^{−1}$.
$-6 R_{1}\Rightarrow R_{1}$

$E =$ $\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. $\frac{1}{-6} R_{1}\Rightarrow R_{1}$

B. $-6 R_{1}\Rightarrow R_{1}$

C. $\frac{1}{-6} R_{3}\Rightarrow R_{3}$

D. $\frac{1}{-6} R_{1}+R_{3}\Rightarrow R_{1}$

E. $\frac{1}{-6} R_{3}\Rightarrow R_{1}$