Perform the Row Operation(s) on the Given Augmented Matrix A) $\left[ \begin{array} { l l l | r } 2 & 4 & 6 & - 8 \\ 0 & 0 & 0 & 0 \\ 4 & 6 & 7 & 1 \end{array} \right]$

question 66

Multiple Choice

Perform the row operation(s) on the given augmented matrix.
- $$\begin{array} { l } \mathrm { R } _ { 2 } = - 2 \mathrm { r } _ { 2 } + \mathrm { r } 1 \\{ \left[ \begin{array} { r r r | r } 2 & 4 & 6 & - 8 \\1 & 2 & 3 & 6 \\4 & 6 & 7 & 1\end{array} \right] }\end{array}$$

• A) \(\left[ \begin{array} { l l l | r } 2 & 4 & 6 & - 8 \\ 0 & 0 & 0 & 0 \\ 4 & 6 & 7 & 1 \end{array} \right]\)
• B) \(\left[ \begin{array} { r r r | r } 2 & 4 & 6 & - 8 \\ - 4 & - 8 & - 12 & - 20 \\ 4 & 6 & 7 & 1 \end{array} \right]\)
• C) \(\left[ \begin{array} { r r r | r } 2 & 4 & 6 & - 8 \\ 0 & 0 & 0 & - 20 \\ 4 & 6 & 7 & 1 \end{array} \right]\)
• D) \(\left[ \begin{array} { r r r | r } 2 & 4 & 6 & - 8 \\ - 4 & - 8 & - 12 & 6 \\ 4 & 6 & 7 & 1 \end{array} \right]\)