Write the augmented matrix associated with the system.
-$$\left\{ \begin{array} { r }
- 2 x - 2 z = - 6 \
- 2 y + 6 z = 10 \
9 x + 7 y + 8 z = 32
\end{array} \right.$$
A)
$\left[ \begin{array} { r r r } - 2 & 0 & - 2 \ 0 & - 2 & 6 \ 9 & 7 & 8 \end{array} \right]$

B)
$\left[ \begin{array} { r r r | r } - 2 & 0 & - 2 & - 6 \ 0 & - 2 & 6 & 10 \ 9 & 7 & 8 & 32 \end{array} \right]$
C)$\left[ \begin{array} { r r r | r } - 2 & -2 & 0 & - 6 \ 0 & - 2 & 6 & 10 \ 9 & 7 & 8 & 32 \end{array} \right]$
D)
$$\left[ \begin{array} { r r r | r }
- 2 & - 2 & 0 & - 6 \
- 2 & 6 & 0 & 10 \
9 & 7 & 8 & 32
\end{array} \right] \quad \left[ \right]$$

Question

Write the augmented matrix associated with the system.
-$$\left\{ \begin{array} { r } 
- 2 x - 2 z = - 6 \
- 2 y + 6 z = 10 \
9 x + 7 y + 8 z = 32
\end{array} \right.$$
A)
$\left[ \begin{array} { r r r } - 2 & 0 & - 2 \ 0 & - 2 & 6 \ 9 & 7 & 8 \end{array} \right]$

B)
$\left[ \begin{array} { r r r | r } - 2 & 0 & - 2 & - 6 \ 0 & - 2 & 6 & 10 \ 9 & 7 & 8 & 32 \end{array} \right]$
C)$\left[ \begin{array} { r r r | r } - 2 & -2 & 0 & - 6 \ 0 & - 2 & 6 & 10 \ 9 & 7 & 8 & 32 \end{array} \right]$
D)
$$\left[ \begin{array} { r r r | r } 
- 2 & - 2 & 0 & - 6 \
- 2 & 6 & 0 & 10 \
9 & 7 & 8 & 32
\end{array} \right] \quad \left[  \right]$$

Quizplus · Accepted Answer

The augmented matrix correctly represents the system of equations with coefficients and constants in their respective places, including the vertical line separating the coefficients from the constants.

Write the Augmented Matrix Associated with the System {−2x−2z=−6−2y+6z=109x+7y+8z=32\left\{ \begin{array} { r } - 2 x - 2 z = - 6 \\- 2 y + 6 z = 10 \\9 x + 7 y + 8 z = 32\end{array} \right.⎩⎨⎧​−2x−2z=−6−2y+6z=109x+7y+8z=32​

Write the Augmented Matrix Associated with the System $\left\{ \begin{array} { r } - 2 x - 2 z = - 6 \\- 2 y + 6 z = 10 \\9 x + 7 y + 8 z = 32\end{array} \right.$