< Determinante < 2 < Rationale Funktionen < 1
Bestimme die
Determinante
von
(
x
2
−
5
x
+
3
x
3
−
7
2
x
x
2
+
1
x
2
−
4
x
3
x
2
−
x
x
2
−
3
)
{\displaystyle {\begin{pmatrix}{\frac {x^{2}-5}{x+3}}&{\frac {x^{3}-7}{2x}}\\{\frac {x^{2}+1}{x^{2}-4x}}&{\frac {3x^{2}-x}{x^{2}-3}}\end{pmatrix}}}
über dem Körper
R
(
X
)
{\displaystyle {}\mathbb {R} (X)}
.
Zur Lösung
,
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