Perform the Matrix Row Operation (Or Operations)and Write the New $\left[ \begin{array} { r r r | r } 1 & - 4 & 1 & 3 \\ - 5 & 0 & 3 & - 3 \\ - 1 & 2 & - 2 & - 1 \end{array} \right] - 3 R _ { 1 } + R _ { 2 }$

Multiple Choice

Perform the matrix row operation (or operations) and write the new matrix.
- $\left[ \begin{array} { r r r | r } 1 & - 4 & 1 & 3 \\ - 5 & 0 & 3 & - 3 \\ - 1 & 2 & - 2 & - 1 \end{array} \right] - 3 R _ { 1 } + R _ { 2 }$

A) $\left[\begin{array}{rrr|r}1 & -4 & 1 & 3 \\ -8 & 12 & 0 & -12 \\ -1 & 2 & -2 & -1\end{array}\right]$

B) $\left[\begin{array}{ccc|c}1 & -4 & 1 & 3 \\ -2 & -12 & 6 & 6 \\ -1 & 2 & -2 & -1\end{array}\right]$

C) $\left[\begin{array}{rrr|r}16 & -4 & -8 & 12 \\ -5 & 0 & 3 & -3 \\ -1 & 2 & -2 & -1\end{array}\right]$

D) $\left[\begin{array}{ccc|c}-8 & 12 & 0 & -12 \\ -5 & 0 & 3 & -3 \\ -1 & 2 & -2 & -1\end{array}\right]$