Write the Matrix in Reduced Row-Echelon Form $$\left[ \begin{array} { r r r r } 5 & - 7 & - 3 & 6 \\- 6 & - 6 & 2 & - 44 \\2 & - 4 & - 2 & - 4\end{array} \right]$$

Multiple Choice

Write the matrix in reduced row-echelon form. $$\left[ \begin{array} { r r r r } 5 & - 7 & - 3 & 6 \\- 6 & - 6 & 2 & - 44 \\2 & - 4 & - 2 & - 4\end{array} \right]$$

A) $\left[ \begin{array} { l l l l } 1 & 0 & 0 & 6 \\0 & 1 & 0 & 3 \\0 & 0 & 1 & 5\end{array} \right]$
B) $\left[ \begin{array} { l l l l } 1 & 0 & 0 & 1 \\0 & 1 & 0 & 1 \\0 & 0 & 1 & 1\end{array} \right]$
C) $\left[ \begin{array} { l l l l } 1 & 0 & 0 & 7 \\0 & 1 & 0 & 2 \\0 & 0 & 1 & 5\end{array} \right]$
D) $\left[ \begin{array} { l l l l } 1 & 0 & 0 & 0 \\0 & 1 & 0 & 0 \\0 & 0 & 1 & 0\end{array} \right]$
E) $\left[ \begin{array} { l l l l } 1 & 0 & 0 & 7 \\0 & 1 & 0 & 5 \\0 & 0 & 1 & 2\end{array} \right]$