Write the system of equations associated with the augmented matrix. Do not solve.
-$\left[ \begin{array} { l l l l } 1 & 0 & 0 & - 1 \ 0 & 1 & 0 & - 1 \ 0 & 0 & 1 & - 9 \end{array} \right]$
A) $x = 1$
$y = 1$
$z = 9$

B) $x = - 1$
$y = - 1$
$z = - 9$

C) $x = 8$
$y = 8$
$z = 0$

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

Question

Write the system of equations associated with the augmented matrix. Do not solve.
-$\left[ \begin{array} { l l l l } 1 & 0 & 0 & - 1 \ 0 & 1 & 0 & - 1 \ 0 & 0 & 1 & - 9 \end{array} \right]$
A) $x = 1$
$y = 1$
$z = 9$

B) $x = - 1$
$y = - 1$
$z = - 9$

C) $x = 8$
$y = 8$
$z = 0$

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

Quizplus · Accepted Answer

The augmented matrix corresponds to the system of equations $x = -1$, $y = -1$, and $z = -9$, which matches choice B. Each row represents an equation for one of the variables $x$, $y$, and $z$ respectively, with the constants on the right side of the equal sign.

Write the System of Equations Associated with the Augmented Matrix [100−1010−1001−9]\left[ \begin{array} { l l l l } 1 & 0 & 0 & - 1 \\ 0 & 1 & 0 & - 1 \\ 0 & 0 & 1 & - 9 \end{array} \right]​100​010​001​−1−1−9​​

Write the System of Equations Associated with the Augmented Matrix $\left[ \begin{array} { l l l l } 1 & 0 & 0 & - 1 \\ 0 & 1 & 0 & - 1 \\ 0 & 0 & 1 & - 9 \end{array} \right]$