Write the augmented matrix for the system. Do not solve the system.
-$$\begin{array} { l }
3 x + 6 y - 2 z = 41 \
6 x + 5 y + 3 z = 26 \
2 x + 8 y + 7 z = 47
\end{array}$$
A)
$$\left[ \begin{array} { r r r | r }
3 & 6 & 2 & 41 \
6 & 5 & 8 & 26 \
- 2 & 3 & 7 & 47
\end{array} \right]$$
B)
$\left[ \begin{array} { r r r | r } 3 & 6 & - 2 & 41 \ 6 & 5 & 3 & 26 \ 2 & 8 & 7 & 47 \end{array} \right]$
C)
$\left[ \begin{array} { r r r | r } 41 & - 2 & 6 & 3 \ 26 & 3 & 5 & 6 \ 47 & 7 & 8 & 2 \end{array} \right]$
D)
$\left[ \begin{array} { r r r } 3 & 6 & - 2 \ 6 & 5 & 3 \ 2 & 8 & 7 \end{array} \right]$

Question

Write the augmented matrix for the system. Do not solve the system.
-$$\begin{array} { l } 
3 x + 6 y - 2 z = 41 \
6 x + 5 y + 3 z = 26 \
2 x + 8 y + 7 z = 47
\end{array}$$
A)
$$\left[ \begin{array} { r r r | r } 
3 & 6 & 2 & 41 \
6 & 5 & 8 & 26 \
- 2 & 3 & 7 & 47
\end{array} \right]$$
B)
$\left[ \begin{array} { r r r | r } 3 & 6 & - 2 & 41 \ 6 & 5 & 3 & 26 \ 2 & 8 & 7 & 47 \end{array} \right]$
C)
$\left[ \begin{array} { r r r | r } 41 & - 2 & 6 & 3 \ 26 & 3 & 5 & 6 \ 47 & 7 & 8 & 2 \end{array} \right]$
D)
$\left[ \begin{array} { r r r } 3 & 6 & - 2 \ 6 & 5 & 3 \ 2 & 8 & 7 \end{array} \right]$

Quizplus · Accepted Answer

The augmented matrix for the given system of equations correctly aligns the coefficients of $x$, $y$, and $z$ in the first three columns and the constants on the right side of the equation in the fourth column, as shown in choice B.

Write the Augmented Matrix for the System 3x+6y−2z=416x+5y+3z=262x+8y+7z=47\begin{array} { l } 3 x + 6 y - 2 z = 41 \\6 x + 5 y + 3 z = 26 \\2 x + 8 y + 7 z = 47\end{array}3x+6y−2z=416x+5y+3z=262x+8y+7z=47​

Write the Augmented Matrix for the System $\begin{array} { l } 3 x + 6 y - 2 z = 41 \\6 x + 5 y + 3 z = 26 \\2 x + 8 y + 7 z = 47\end{array}$