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Systems of Linear Equations

Vectors in $\mathbb{R}^2$

Given the system \(x_1-2x_2+x_3=0\\ x_1-2x_2+x_3=0\\ 5x_1-5x_3=10\)

\[\begin{matrix} 1 & -2 & 1 \\ 0 & 2 & -8 \\ 5 & 0 & -5 \\ \end{matrix}\]
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