Solve the system by the Gauss-Jordan method.

B)
C)
D)
E) inconsistent

Question

Solve the system by the Gauss-Jordan method. ​
​  ​
B) ​ 
C) ​ 
D) ​ 
E) inconsistent

Quizplus · Accepted Answer

Using the Gauss-Jordan method, we can transform the augmented matrix into reduced row echelon form:
$$\left[\begin{array}{ccc|c} 
2&-1&-1&6\ 
1&1&1&2\ 
1&-1&1&4 
\end{array}ight]
ightarrow
\left[\begin{array}{ccc|c} 
1&0&0&2\ 
0&1&0&1\ 
0&0&1&3 
\end{array}ight]$$
Therefore, the solution is $x=2$, $y=1$, $z=3$. Since the system has a unique solution, the answer is C.

Solve the System by the Gauss-Jordan Method. ​

Solve the System by the Gauss-Jordan Method.