Determine Whether the System Is Consistent$$\begin{array} { r }
2 x _ { 1 } + x _ { 2 } = 0 \
x _ { 1 } - 3 x _ { 2 } + x _ { 3 } = 0 \
3 x _ { 1 } + x _ { 2 } - x _ { 3 } = 0
\end{array}$$

Question

Determine Whether the System Is Consistent$$\begin{array} { r } 
2 x _ { 1 } + x _ { 2 } = 0 \
x _ { 1 } - 3 x _ { 2 } + x _ { 3 } = 0 \
3 x _ { 1 } + x _ { 2 } - x _ { 3 } = 0
\end{array}$$

Examlex · Accepted Answer

The Answer of Determine Whether the System Is Consistent$$\begin{array} { r } 
2 x _ { 1 } + x _ { 2 } = 0 \
x _ { 1 } - 3 x _ { 2 } + x _ { 3 } = 0 \
3 x _ { 1 } + x _ { 2 } - x _ { 3 } = 0
\end{array}$$

Determine Whether the System Is Consistent $\begin{array} { r } 2 x _ { 1 } + x _ { 2 } = 0 \\x _ { 1 } - 3 x _ { 2 } + x _ { 3 } = 0 \\3 x _ { 1 } + x _ { 2 } - x _ { 3 } = 0\end{array}$

Definitions:

Determine Whether the System Is Consistent 2x1+x2=0x1−3x2+x3=03x1+x2−x3=0\begin{array} { r } 2 x _ { 1 } + x _ { 2 } = 0 \\x _ { 1 } - 3 x _ { 2 } + x _ { 3 } = 0 \\3 x _ { 1 } + x _ { 2 } - x _ { 3 } = 0\end{array}2x1​+x2​=0x1​−3x2​+x3​=03x1​+x2​−x3​=0​

Definitions:

Determine Whether the System Is Consistent $\begin{array} { r } 2 x _ { 1 } + x _ { 2 } = 0 \\x _ { 1 } - 3 x _ { 2 } + x _ { 3 } = 0 \\3 x _ { 1 } + x _ { 2 } - x _ { 3 } = 0\end{array}$