Convert the Matrix to Row-Echelon Form $\left[ \begin{array} { c c c c } 1 & - 3 & 2 & 3 \\- 2 & 9 & - 6 & - 6 \\- 1 & 6 & - 5 & 0\end{array} \right]$

Multiple Choice

Convert the matrix to row-echelon form. $\left[ \begin{array} { c c c c } 1 & - 3 & 2 & 3 \\- 2 & 9 & - 6 & - 6 \\- 1 & 6 & - 5 & 0\end{array} \right]$

A) $\left[ \begin{array} { l l l l } 1 & 1 & 2 & - 2 \\0 & 1 & 0 & - 3 \\0 & 0 & 1 & - 3\end{array} \right]$
B) $\left[ \begin{array} { c c c c } 1 & - 3 & 2 & 3 \\0 & 1 & 0 & - 2 \\0 & 0 & 1 & - 3\end{array} \right]$
C) $\left[ \begin{array} { c c c c } 1 & 3 & - 3 & - 2 \\0 & 1 & 0 & - 1 \\0 & 0 & 1 & - 2\end{array} \right]$
D) $\left[ \begin{array} { c c c c } 1 & 0 & 2 & 0 \\0 & 1 & - 2 & 0 \\0 & 0 & 1 & - 3\end{array} \right]$
E) $\left[ \begin{array} { c c c c } 1 & 2 & 2 & 1 \\0 & 1 & 0 & 6 \\0 & 0 & 1 & - 3\end{array} \right]$