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$\vfill \vspace*{.5in} \begin{center} {\bsifamily\Huge Linear Algebra} \\[.25in] {\Large Jim Hef{}feron} \end{center} \vspace*{.5in}$

$\begin{vmatrix} 1 &2 \\ 3 &1 \end{vmatrix}$ $\begin{vmatrix} x_1\cdot 1 &2 \\ x_1\cdot 3 &1 \end{vmatrix}$ $\begin{vmatrix} 6 &2 \\ 8 &1 \end{vmatrix}$

This picture illustrates Cramer’s rule for the system

$$ \begin{eqnarray*} x_1 + 2 x_2 &=& 6 \\ 3x_1 + x_2 &=& 8 \end{eqnarray*} $$

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