Write the augmented matrix for the system.
-$$\left\{ \begin{aligned}
4 x + 9 y + 2 z & = 30 \
- 2 x + 6 y + 2 z & = 0 \
9 x + 6 y + 5 z & = 38
\end{aligned} \right.$$
A) $\left[ \begin{array} { r r | r } 4 & 9 & 2 \ - 2 & 6 & 2 \ 9 & 5 \end{array} \right]$

B) $\left[ \begin{array} { r r r | r } 30 & 2 & 9 & 4 \ 0 & 2 & 6 & - 2 \ 38 & 5 & 6 & 9 \end{array} \right]$

C) $\left[ \begin{array} { r r r | r } 4 & 9 & 2 & 30 \ - 2 & 6 & 2 & 0 \ 9 & 6 & 5 & 38 \end{array} \right]$

D) $\left[ \begin{array} { r r r | r } 4 & - 2 & 9 & 30 \ 9 & 6 & 6 & 0 \ 2 & 2 & 5 & 38 \end{array} \right]$

Question

Write the augmented matrix for the system.
-$$\left\{ \begin{aligned}
4 x + 9 y + 2 z & = 30 \
- 2 x + 6 y + 2 z & = 0 \
9 x + 6 y + 5 z & = 38
\end{aligned} \right.$$
A) $\left[ \begin{array} { r r | r } 4 & 9 & 2 \ - 2 & 6 & 2 \ 9 & 5 \end{array} \right]$

B) $\left[ \begin{array} { r r r | r } 30 & 2 & 9 & 4 \ 0 & 2 & 6 & - 2 \ 38 & 5 & 6 & 9 \end{array} \right]$

C) $\left[ \begin{array} { r r r | r } 4 & 9 & 2 & 30 \ - 2 & 6 & 2 & 0 \ 9 & 6 & 5 & 38 \end{array} \right]$

D) $\left[ \begin{array} { r r r | r } 4 & - 2 & 9 & 30 \ 9 & 6 & 6 & 0 \ 2 & 2 & 5 & 38 \end{array} \right]$

Quizplus · Accepted Answer

The augmented matrix is formed by writing the coefficients of the variables $x$, $y$, and $z$ in the first three columns and the constants on the right side of the equation in the last column, maintaining the order of equations as they appear in the system.

Write the Augmented Matrix for the System {4x+9y+2z=30−2x+6y+2z=09x+6y+5z=38\left\{ \begin{aligned}4 x + 9 y + 2 z & = 30 \\- 2 x + 6 y + 2 z & = 0 \\9 x + 6 y + 5 z & = 38\end{aligned} \right.⎩⎨⎧​4x+9y+2z−2x+6y+2z9x+6y+5z​=30=0=38​

Write the Augmented Matrix for the System $\left\{ \begin{aligned}4 x + 9 y + 2 z & = 30 \\- 2 x + 6 y + 2 z & = 0 \\9 x + 6 y + 5 z & = 38\end{aligned} \right.$