###### Definition 1.1.6

A linear equation in the unknowns \(x_1,x_2,\ldots,x_n\) may be written in the form

\begin{equation*}
a_1x_1 + a_2x_2 + \ldots + a_nx_n = b\text{,}
\end{equation*}

where \(a_1,a_2,\ldots,a_n\) are real numbers known as *coefficients*.