Allgemeines LGS

$$\begin{array}{llccc}{a}_{11}{x}_1& +a_{12}x2& +\dots & +a_{1n}{x}_n& =c_1\\ a_{21}{x}_1& +a_{22}x2& +\dots & +a_{2n}{x}_n& =c_2\\ ⋮& ⋮& ⋮& ⋮& ⋮\\ a_{m1}{x}_1& +a_{m2}{x}_2& +\dots & +a_{mn}{x}_n& =c_m\end{array}\}$$

Koeffizientenmatrix

$$(A\mid \overrightarrow{c})=(\begin{array}{cccc}{a}_{11}& a_{12}& \dots & a_{1n}\\ a_{21}& a_{12}& \dots & a_{1n}\\ ⋮& ⋮& & ⋮\\ a_{m1}& a_{m2}& \dots & a_{mn}\end{array}\left|\begin{array}{c}{c}_1\\ c_2\\ ⋮\\ c_m\end{array}\right)$$