Write the augmented matrix for the system.
-$$\left\{ \begin{array} { l }
9 x - 2 y + 6 z = 54 \
6 x + 2 y + 9 z = 51 \
5 x + 3 y + 2 z = 41
\end{array} \right.$$
A) $\left[ \begin{array} { r r r | r } 54 & 6 & - 2 & 9 \ 51 & 9 & 2 & 6 \ 41 & 2 & 3 & 5 \end{array} \right]$
B) $\left[ \begin{array} { r r r | r } 9 & 6 & 5 & 54 \ - 2 & 2 & 3 & 51 \ 6 & 9 & 2 & 41 \end{array} \right]$
C) $\left[ \begin{array} { r r | r } 9 & - 2 & 6 \ 6 & 2 & 9 \ 5 & 3 & 2 \end{array} \right]$
D) $\left[ \begin{array} { r r r | r } 9 & - 2 & 6 & 54 \ 6 & 2 & 9 & 51 \ 5 & 3 & 2 & 41 \end{array} \right]$

Question

Write the augmented matrix for the system.
-$$\left\{ \begin{array} { l } 
9 x - 2 y + 6 z = 54 \
6 x + 2 y + 9 z = 51 \
5 x + 3 y + 2 z = 41
\end{array} \right.$$
A) $\left[ \begin{array} { r r r | r } 54 & 6 & - 2 & 9 \ 51 & 9 & 2 & 6 \ 41 & 2 & 3 & 5 \end{array} \right]$
B) $\left[ \begin{array} { r r r | r } 9 & 6 & 5 & 54 \ - 2 & 2 & 3 & 51 \ 6 & 9 & 2 & 41 \end{array} \right]$
C) $\left[ \begin{array} { r r | r } 9 & - 2 & 6 \ 6 & 2 & 9 \ 5 & 3 & 2 \end{array} \right]$
D) $\left[ \begin{array} { r r r | r } 9 & - 2 & 6 & 54 \ 6 & 2 & 9 & 51 \ 5 & 3 & 2 & 41 \end{array} \right]$

Quizplus · Accepted Answer

The augmented matrix correctly represents the system of equations with 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.

Write the Augmented Matrix for the System {9x−2y+6z=546x+2y+9z=515x+3y+2z=41\left\{ \begin{array} { l } 9 x - 2 y + 6 z = 54 \\6 x + 2 y + 9 z = 51 \\5 x + 3 y + 2 z = 41\end{array} \right.⎩⎨⎧​9x−2y+6z=546x+2y+9z=515x+3y+2z=41​

Write the Augmented Matrix for the System $\left\{ \begin{array} { l } 9 x - 2 y + 6 z = 54 \\6 x + 2 y + 9 z = 51 \\5 x + 3 y + 2 z = 41\end{array} \right.$