# Inverse Matrix/2 4 0 -1 0 3 0 1 1/Aufgabe/Lösung

${\displaystyle {}{\begin{pmatrix}2&4&0\\-1&0&3\\0&1&1\end{pmatrix}}}$ ${\displaystyle {}{\begin{pmatrix}1&0&0\\0&1&0\\0&0&1\end{pmatrix}}}$
${\displaystyle {}{\begin{pmatrix}2&4&0\\0&2&3\\0&1&1\end{pmatrix}}}$ ${\displaystyle {}{\begin{pmatrix}1&0&0\\{\frac {1}{2}}&1&0\\0&0&1\end{pmatrix}}}$
${\displaystyle {}{\begin{pmatrix}2&4&0\\0&2&3\\0&0&-{\frac {1}{2}}\end{pmatrix}}}$ ${\displaystyle {}{\begin{pmatrix}1&0&0\\{\frac {1}{2}}&1&0\\-{\frac {1}{4}}&-{\frac {1}{2}}&1\end{pmatrix}}}$
${\displaystyle {}{\begin{pmatrix}1&2&0\\0&1&{\frac {3}{2}}\\0&0&1\end{pmatrix}}}$ ${\displaystyle {}{\begin{pmatrix}{\frac {1}{2}}&0&0\\{\frac {1}{4}}&{\frac {1}{2}}&0\\{\frac {1}{2}}&1&-2\end{pmatrix}}}$
${\displaystyle {}{\begin{pmatrix}1&2&0\\0&1&0\\0&0&1\end{pmatrix}}}$ ${\displaystyle {}{\begin{pmatrix}{\frac {1}{2}}&0&0\\-{\frac {1}{2}}&-1&3\\{\frac {1}{2}}&1&-2\end{pmatrix}}}$
${\displaystyle {}{\begin{pmatrix}1&0&0\\0&1&0\\0&0&1\end{pmatrix}}}$ ${\displaystyle {}{\begin{pmatrix}{\frac {3}{2}}&2&-6\\-{\frac {1}{2}}&-1&3\\{\frac {1}{2}}&1&-2\end{pmatrix}}}$