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Matrix/2x2/Invers/1/Exercise
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Let
M
=
(
11
−
20
6
−
11
)
.
{\displaystyle {}M={\begin{pmatrix}11&-20\\6&-11\end{pmatrix}}\,.}
a) Show
M
2
=
E
2
.
{\displaystyle {}M^{2}=E_{2}\,.}
b) Determine the
inverse matrix
of
M
{\displaystyle {}M}
.
c) Solve the equation
M
(
x
y
)
=
(
4
−
9
)
.
{\displaystyle {}M{\begin{pmatrix}x\\y\end{pmatrix}}={\begin{pmatrix}4\\-9\end{pmatrix}}\,.}
Create a solution
.
