Invertierbare Matrix/Finden der inversen Matrix/Tabelle/Verfahren/59/-37/Beispiel

Wir wollen zur Matrix ${}{\begin{pmatrix}5&9\\-3&7\end{pmatrix}}$ gemäß dem in Fakt beschriebenen Verfahren die inverse Matrix ${}M^{-1}$ bestimmen.

${}{\begin{pmatrix}5&9\\-3&7\end{pmatrix}}$	${}{\begin{pmatrix}1&0\\0&1\end{pmatrix}}$
${}{\begin{pmatrix}5&9\\0&{\frac {62}{5}}\end{pmatrix}}$	${}{\begin{pmatrix}1&0\\{\frac {3}{5}}&1\end{pmatrix}}$
${}{\begin{pmatrix}1&{\frac {9}{5}}\\0&1\end{pmatrix}}$	${}{\begin{pmatrix}{\frac {1}{5}}&0\\{\frac {3}{62}}&{\frac {5}{62}}\end{pmatrix}}$
${}{\begin{pmatrix}1&0\\0&1\end{pmatrix}}$	${}{\begin{pmatrix}{\frac {7}{62}}&-{\frac {9}{62}}\\{\frac {3}{62}}&{\frac {5}{62}}\end{pmatrix}}$