Write the system of equations associated with the augmented matrix. Do not solve.
-$\left[ \begin{array} { r r r | r } 1 & 0 & 0 & 4 \ 0 & 1 & 0 & - 8 \ 0 & 0 & 1 & 2 \end{array} \right]$
A) $x = - 4$
$\mathrm { y } = 8$
$\mathrm { z } = - 2$

B) $x = 0$
$y = - 4$
$z = 6$

C) $x = 2$
$y = - 10$
$z = 0$

D) $x = 4$
$y = - 8$
$z = 2$

Question

Write the system of equations associated with the augmented matrix. Do not solve.
-$\left[ \begin{array} { r r r | r } 1 & 0 & 0 & 4 \ 0 & 1 & 0 & - 8 \ 0 & 0 & 1 & 2 \end{array} \right]$
A) $x = - 4$
$\mathrm { y } = 8$
$\mathrm { z } = - 2$

B) $x = 0$
$y = - 4$
$z = 6$

C) $x = 2$
$y = - 10$
$z = 0$

D) $x = 4$
$y = - 8$
$z = 2$

Quizplus · Accepted Answer

The augmented matrix directly translates to the system of equations $x = 4$, $y = -8$, and $z = 2$, which corresponds to choice D.

Write the System of Equations Associated with the Augmented Matrix [1004010−80012]\left[ \begin{array} { r r r | r } 1 & 0 & 0 & 4 \\ 0 & 1 & 0 & - 8 \\ 0 & 0 & 1 & 2 \end{array} \right]​100​010​001​4−82​​

Write the System of Equations Associated with the Augmented Matrix $\left[ \begin{array} { r r r | r } 1 & 0 & 0 & 4 \\ 0 & 1 & 0 & - 8 \\ 0 & 0 & 1 & 2 \end{array} \right]$