# Inverse Matrix/1 3 0 5 2 1 0 0 2/Aufgabe/Lösung

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${\displaystyle {}{\begin{pmatrix}1&3&0\\5&2&1\\0&0&2\end{pmatrix}}}$ ${\displaystyle {}{\begin{pmatrix}1&0&0\\0&1&0\\0&0&1\end{pmatrix}}}$
${\displaystyle {}{\begin{pmatrix}1&3&0\\0&-13&1\\0&0&2\end{pmatrix}}}$ ${\displaystyle {}{\begin{pmatrix}1&0&0\\-5&1&0\\0&0&1\end{pmatrix}}}$
${\displaystyle {}{\begin{pmatrix}1&3&0\\0&1&-{\frac {1}{13}}\\0&0&1\end{pmatrix}}}$ ${\displaystyle {}{\begin{pmatrix}1&0&0\\{\frac {5}{13}}&-{\frac {1}{13}}&0\\0&0&{\frac {1}{2}}\end{pmatrix}}}$
${\displaystyle {}{\begin{pmatrix}1&3&0\\0&1&0\\0&0&1\end{pmatrix}}}$ ${\displaystyle {}{\begin{pmatrix}1&0&0\\{\frac {5}{13}}&-{\frac {1}{13}}&{\frac {1}{26}}\\0&0&{\frac {1}{2}}\end{pmatrix}}}$
${\displaystyle {}{\begin{pmatrix}1&0&0\\0&1&0\\0&0&1\end{pmatrix}}}$ ${\displaystyle {}{\begin{pmatrix}-{\frac {2}{13}}&{\frac {3}{13}}&-{\frac {3}{26}}\\{\frac {5}{13}}&-{\frac {1}{13}}&{\frac {1}{26}}\\0&0&{\frac {1}{2}}\end{pmatrix}}}$
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