Select the augmented matrix for the system of linear equations. $$\left\{ \begin{aligned}
x + 14 y - 12 z & = 12 \
5 x - 4 y + 5 z & = 0 \
12 x + y & = 9
\end{aligned} \right.$$
A) $$\left[ \begin{array} { c c c c c }
1 & 14 & 12 & \vdots & 12 \
5 & - 4 & 5 & \vdots & 0 \
12 & 1 & 0 & \vdots & 9
\end{array} \right]$$
B) $\left[\begin{array}{cccl}
1 & 14 & -12 & :12 \
5 & -4 & 5 & :0\
12 & 1 & 0 & :9
\end{array}\right]$
C) $\left[\begin{array}{cccl}
1 & 14 & -12 & :12 \
5 & 4 & 5 & :0\
12 & 1 & 0 & :9
\end{array}\right]$
D) $$\left[ \begin{array} { c c c c c }
1 & 14 & 12 & \vdots & 12 \
5 & 4 & 5 & \vdots & 0 \
12 & 1 & 0 & \vdots & 9
\end{array} \right]$$
E) $\left[\begin{array}{cccl}
1 & 14 & -12 & :12 \
5 & -4 & 5 & :0\
12 & 1 & 9 & :0
\end{array}\right]$

Question

Select the augmented matrix for the system of linear equations.​ $$\left\{ \begin{aligned}
x + 14 y - 12 z & = 12 \
5 x - 4 y + 5 z & = 0 \
12 x + y & = 9
\end{aligned} \right.$$ ​
A)​ $$\left[ \begin{array} { c c c c c } 
1 & 14 & 12 & \vdots & 12 \
5 & - 4 & 5 & \vdots & 0 \
12 & 1 & 0 & \vdots & 9
\end{array} \right]$$
B) $\left[\begin{array}{cccl}
1 & 14 & -12 & :12 \
5 & -4 & 5 & :0\
12 & 1 & 0 & :9
\end{array}\right]$
C)​ $\left[\begin{array}{cccl}
1 & 14 & -12 & :12 \
5 & 4 & 5 & :0\
12 & 1 & 0 & :9
\end{array}\right]$
D)​ $$\left[ \begin{array} { c c c c c } 
1 & 14 & 12 & \vdots & 12 \
5 & 4 & 5 & \vdots & 0 \
12 & 1 & 0 & \vdots & 9
\end{array} \right]$$
E)​ $\left[\begin{array}{cccl}
1 & 14 & -12 & :12 \
5 & -4 & 5 & :0\
12 & 1 & 9 & :0
\end{array}\right]$

Quizplus · Accepted Answer

The Answer is B

Select the Augmented Matrix for the System of Linear Equations {x+14y−12z=125x−4y+5z=012x+y=9\left\{ \begin{aligned}x + 14 y - 12 z & = 12 \\5 x - 4 y + 5 z & = 0 \\12 x + y & = 9\end{aligned} \right.⎩⎨⎧​x+14y−12z5x−4y+5z12x+y​=12=0=9​

Select the Augmented Matrix for the System of Linear Equations $\left\{ \begin{aligned}x + 14 y - 12 z & = 12 \\5 x - 4 y + 5 z & = 0 \\12 x + y & = 9\end{aligned} \right.$