Inverse Matrix/3x3/3/Aufgabe/Lösung
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Inverse Matrix/3x3/3/Aufgabe
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1
5
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4
4
1
0
0
5
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{\displaystyle {}{\begin{pmatrix}1&5&0\\4&4&1\\0&0&5\end{pmatrix}}}
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1
0
0
0
1
0
0
0
1
)
{\displaystyle {}{\begin{pmatrix}1&0&0\\0&1&0\\0&0&1\end{pmatrix}}}
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1
5
0
0
−
16
1
0
0
1
)
{\displaystyle {}{\begin{pmatrix}1&5&0\\0&-16&1\\0&0&1\end{pmatrix}}}
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1
0
0
−
4
1
0
0
0
1
5
)
{\displaystyle {}{\begin{pmatrix}1&0&0\\-4&1&0\\0&0&{\frac {1}{5}}\end{pmatrix}}}
(
1
5
0
0
−
16
0
0
0
1
)
{\displaystyle {}{\begin{pmatrix}1&5&0\\0&-16&0\\0&0&1\end{pmatrix}}}
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1
0
0
−
4
1
−
1
5
0
0
1
5
)
{\displaystyle {}{\begin{pmatrix}1&0&0\\-4&1&-{\frac {1}{5}}\\0&0&{\frac {1}{5}}\end{pmatrix}}}
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1
5
0
0
1
0
0
0
1
)
{\displaystyle {}{\begin{pmatrix}1&5&0\\0&1&0\\0&0&1\end{pmatrix}}}
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1
0
0
1
4
−
1
16
1
80
0
0
1
5
)
{\displaystyle {}{\begin{pmatrix}1&0&0\\{\frac {1}{4}}&-{\frac {1}{16}}&{\frac {1}{80}}\\0&0&{\frac {1}{5}}\end{pmatrix}}}
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1
0
0
0
1
0
0
0
1
)
{\displaystyle {}{\begin{pmatrix}1&0&0\\0&1&0\\0&0&1\end{pmatrix}}}
(
−
1
4
5
16
−
1
16
1
4
−
1
16
1
80
0
0
1
5
)
{\displaystyle {}{\begin{pmatrix}-{\frac {1}{4}}&{\frac {5}{16}}&-{\frac {1}{16}}\\{\frac {1}{4}}&-{\frac {1}{16}}&{\frac {1}{80}}\\0&0&{\frac {1}{5}}\end{pmatrix}}}
Zur gelösten Aufgabe
