## Precalculus (6th Edition) Blitzer

The linear system can be written as $\left[ \begin{matrix} 1 & 4 & -1 \\ 1 & 3 & -2 \\ 2 & 7 & -5 \\ \end{matrix} \right]\left[ \begin{matrix} x \\ y \\ z \\ \end{matrix} \right]=\left[ \begin{matrix} 3 \\ 5 \\ 12 \\ \end{matrix} \right]$
Consider the given system of equations: \begin{align} & x+4y-z=3 \\ & x+3y-2z=5 \\ & 2x+7y-5z=12 \end{align} The linear system can be written as: $AX=B$ $\left[ \begin{matrix} 1 & 4 & -1 \\ 1 & 3 & -2 \\ 2 & 7 & -5 \\ \end{matrix} \right]\left[ \begin{matrix} x \\ y \\ z \\ \end{matrix} \right]=\left[ \begin{matrix} 3 \\ 5 \\ 12 \\ \end{matrix} \right]$ Where, $A=\left[ \begin{matrix} 1 & 4 & -1 \\ 1 & 3 & -2 \\ 2 & 7 & -5 \\ \end{matrix} \right]$ X=\left[ \begin{align} & x \\ & y \\ & z \\ \end{align} \right] B=\left[ \begin{align} & 3 \\ & 5 \\ & 12 \\ \end{align} \right]