Lineare Algebra

Zusammenfassung

Zu den Hauptaufgaben der linearen Algebra gehört Untersuchung linearer Gleichungssysteme der Art

$$ \left. \begin{array}{l} {a_{11}}\,{x_1}\, + \,\,{a_{12}}\,{x_2}\, + \,.\,.\,.\,.\, + \,{a_{1n}}\,{x_n}\,\, = \,{b_1}\\ {a_{21}}\,{x_1}\, + \,{a_{22}}\, + \,{x_2}\, + \,.\,.\,.\,.\, + \,{a_{2n}}\,{x_n}\, = \,{b_2}\\ .\,\,.\,\,.\,\,.\,\,.\,\,.\,\,.\,\,.\,\,.\,\,.\,\,.\,\,.\,\,.\,\,.\,\,.\,\,.\,\,.\,\,.\,\,.\,\,.\,\,.\,\,.\,\,.\,\,.\,\,.\,\,.\\ {a_{m1}}\,{x_1}\, + \,{a_{m2}}\,{x_2}\, + \,\,.\,\,.\,\,.\,\,.\,\, + \,{a_{mn}}\,{x_{n\,}} = {b_m} \end{array} \right\}{\left( * \right)^1} $$