A single row operation was performed on the matrix on the left to produce the matrix on the right. Unfortunately, an error was made when performing the row operation.

$$\left[\begin{array}{rrrr} -3 & 0 & -3 & 3 \\ 0 & -3 & 0 & -1 \\ 1 & -1 & 2 & 0\end{array}\right] \text{ row op produces: } \left[\begin{array}{rrrr} -3 & 0 & -3 & 3 \\ -2 & -1 & -9 & -1 \\ 1 & -1 & 2 & 0\end{array}\right]$$

First identify the row operation and then fix the error. Use R1, R2, and R3 to represent the rows $R_1$, $R_2$, and $R_3$. For example, if the operation were "add 2 times row 4 to row 6" then the answer would be "$2*R4+R6 \longrightarrow R6$". If it were "swap row 4 with row 6" the answer would be "$R4 \longleftrightarrow R6$".

Row operation: select --> <-->

Fixed right hand side:

$\left.\vphantom{\begin{array}{c}\!\strut\\\!\strut\\\!\strut\\\!\strut\\\end{array}}\right[$ $\left.\vphantom{\begin{array}{c}\!\strut\\\!\strut\\\!\strut\\\!\strut\\\end{array}}\right]$