Let A= \left[\begin{array}{ccc}
2 &-1 &3\cr
3 &0 &-9
\end{array}\right].
Perform the following row operations sequentially (applying each new operation to the previous result).

First, swap the first and second rows:

\left[\Rule{0pt}{2.4em}{0pt}\right. \left]\Rule{0pt}{2.4em}{0pt}\right.

Second, multiply every element of the first row by\displaystyle \frac{1}{3} :

\left[\Rule{0pt}{2.4em}{0pt}\right. \left]\Rule{0pt}{2.4em}{0pt}\right.

Third: add to the elements of the second row,-2 times the corresponding elements of the first row:

\left[\Rule{0pt}{2.4em}{0pt}\right. \left]\Rule{0pt}{2.4em}{0pt}\right.

First, swap the first and second rows:

Second, multiply every element of the first row by

Third: add to the elements of the second row,

You can earn partial credit on this problem.