< Matrix < 2x2 < Selbstinvers < 1
Es sei
M
=
(
11
−
20
6
−
11
)
.
{\displaystyle {}M={\begin{pmatrix}11&-20\\6&-11\end{pmatrix}}\,.}
a) Zeige
M
2
=
E
2
.
{\displaystyle {}M^{2}=E_{2}\,.}
b) Bestimme die
inverse Matrix
zu
M
{\displaystyle {}M}
.
c) Löse die Gleichung
M
(
x
y
)
=
(
4
−
9
)
.
{\displaystyle {}M{\begin{pmatrix}x\\y\end{pmatrix}}={\begin{pmatrix}4\\-9\end{pmatrix}}\,.}
Zur Lösung
,
Alternative Lösung erstellen
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