Question: 13. Show that the system below is inconsistent. $$ begin{aligned} x_1 + x_2 + x_3 &= 3, x_1 - x_2 + 2x_3 &= -3, 3x_1
13. Show that the system below is inconsistent.
$$
\begin{aligned}
x_1 + x_2 + x_3 &= 3,\\
x_1 - x_2 + 2x_3 &= -3,\\
3x_1 - x_2 + 5x_3 &= -2,\\
2x_1 - x_2 - x_3 &= 4.
\end{aligned}
$$
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