Use Gauss-Jordan row reduction to solve the system.

$\begin{aligned}
3 x + y - 2 z = & - 4 \
2 x - 3 y + 2 z = & 11 \
x + y + z = & 3
\end{aligned}$
A) $( 1 , - 1,3 )$
B) $\left( 9 , \frac { 2 } { 5 } , - 9 \right)$
C) $\left( 0,9 , \frac { 2 } { 5 } \right)$
D) $( 3,5 , - 5 )$
E) inconsistent

Question

Use Gauss-Jordan row reduction to solve the system.

$\begin{aligned}
3 x + y - 2 z = & - 4 \
2 x - 3 y + 2 z = & 11 \
x + y + z = & 3
\end{aligned}$  
A) $( 1 , - 1,3 )$
B) $\left( 9 , \frac { 2 } { 5 } , - 9 \right)$
C) $\left( 0,9 , \frac { 2 } { 5 } \right)$
D) $( 3,5 , - 5 )$
E) inconsistent

Quizplus · Accepted Answer

Solving the system using Gauss-Jordan row reduction, the solution is $x = 1$, $y = -1$, and $z = 3$.

Use Gauss-Jordan Row Reduction to Solve the System 3x+y−2z=−42x−3y+2z=11x+y+z=3\begin{aligned}3 x + y - 2 z = & - 4 \\2 x - 3 y + 2 z = & 11 \\x + y + z = & 3\end{aligned}3x+y−2z=2x−3y+2z=x+y+z=​−4113​

Use Gauss-Jordan Row Reduction to Solve the System $\begin{aligned}3 x + y - 2 z = & - 4 \\2 x - 3 y + 2 z = & 11 \\x + y + z = & 3\end{aligned}$