Write the System as a Vector Equation or Matrix Equation $$\begin{array} { l l } 2 x _ { 1 } + x _ { 2 } - 6 x _ { 3 } & = - 6 \\6 x _ { 1 } - 4 x _ { 2 } & = 2\end{array}$$

Multiple Choice

Write the system as a vector equation or matrix equation as indicated.
-Write the following system as a matrix equation involving the product of a matrix and a vector on the left side and a vector on the right side. $$\begin{array} { l l } 2 x _ { 1 } + x _ { 2 } - 6 x _ { 3 } & = - 6 \\6 x _ { 1 } - 4 x _ { 2 } & = 2\end{array}$$

A) $\left[ \begin{array} { r r r } 2 & 1 & - 6 \\ 6 & 4 & 1 \end{array} \right] \left[ \begin{array} { l } x _ { 1 } \\ x _ { 2 } \\ x _ { 3 } \end{array} \right] = \left[ \begin{array} { r } - 6 \\ 2 \end{array} \right]$

B) $\left[ \begin{array} { r r r } 2 & 1 & - 6 \\ 6 & - 4 & 0 \end{array} \right] \left[ \begin{array} { l } x _ { 1 } \\ x _ { 2 } \\ x _ { 3 } \end{array} \right] = \left[ \begin{array} { r } - 6 \\ 2 \end{array} \right]$

C) $\left[ \begin{array} { r r } 2 & 6 \\ 1 & - 4 \\ - 6 & 0 \end{array} \right] \left[ \begin{array} { l } x _ { 1 } \\ x _ { 2 } \end{array} \right] = \left[ \begin{array} { r } - 6 \\ 2 \end{array} \right]$

D) $\left[ \begin{array} { c c r } x _ { 1 } & x _ { 2 } & x _ { 3 } \\ 6 & - 4 & 0 \end{array} \right] \left[ \begin{array} { r } 2 \\ 1 \\ - 6 \end{array} \right] = \left[ \begin{array} { r } - 6 \\ 2 \end{array} \right]$