R^2/Dualbasis zu (1,3),(2,-5)/Standarddualbasis/Aufgabe

Drücke die Vektoren ${}u_{1}^{*},u_{2}^{*}$ der Dualbasis zur Basis ${}u_{1}={\begin{pmatrix}1\\3\end{pmatrix}},\,u_{2}={\begin{pmatrix}2\\-5\end{pmatrix}}$ im ${}\mathbb {R} ^{2}$ als Linearkombinationen

bezüglich der Standarddualbasis

{}e_{1}^{*},e_{2}^{*}

aus.

Zur Lösung, Alternative Lösung erstellen

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