Inverse Matrix/3x3/5/Aufgabe/Lösung
<
Inverse Matrix/3x3/5/Aufgabe
(
1
8
0
3
2
1
0
0
2
)
{\displaystyle {}{\begin{pmatrix}1&8&0\\3&2&1\\0&0&2\end{pmatrix}}}
(
1
0
0
0
1
0
0
0
1
)
{\displaystyle {}{\begin{pmatrix}1&0&0\\0&1&0\\0&0&1\end{pmatrix}}}
(
1
8
0
0
−
22
1
0
0
1
)
{\displaystyle {}{\begin{pmatrix}1&8&0\\0&-22&1\\0&0&1\end{pmatrix}}}
(
1
0
0
−
3
1
0
0
0
1
2
)
{\displaystyle {}{\begin{pmatrix}1&0&0\\-3&1&0\\0&0&{\frac {1}{2}}\end{pmatrix}}}
(
1
8
0
0
−
22
0
0
0
1
)
{\displaystyle {}{\begin{pmatrix}1&8&0\\0&-22&0\\0&0&1\end{pmatrix}}}
(
1
0
0
−
3
1
−
1
2
0
0
1
2
)
{\displaystyle {}{\begin{pmatrix}1&0&0\\-3&1&-{\frac {1}{2}}\\0&0&{\frac {1}{2}}\end{pmatrix}}}
(
1
8
0
0
1
0
0
0
1
)
{\displaystyle {}{\begin{pmatrix}1&8&0\\0&1&0\\0&0&1\end{pmatrix}}}
(
1
0
0
3
22
−
1
22
1
44
0
0
1
2
)
{\displaystyle {}{\begin{pmatrix}1&0&0\\{\frac {3}{22}}&-{\frac {1}{22}}&{\frac {1}{44}}\\0&0&{\frac {1}{2}}\end{pmatrix}}}
(
1
0
0
0
1
0
0
0
1
)
{\displaystyle {}{\begin{pmatrix}1&0&0\\0&1&0\\0&0&1\end{pmatrix}}}
(
−
1
11
4
11
−
2
11
3
22
−
1
22
1
44
0
0
1
2
)
{\displaystyle {}{\begin{pmatrix}-{\frac {1}{11}}&{\frac {4}{11}}&-{\frac {2}{11}}\\{\frac {3}{22}}&-{\frac {1}{22}}&{\frac {1}{44}}\\0&0&{\frac {1}{2}}\end{pmatrix}}}
Zur gelösten Aufgabe
