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Zusammenfassung Vektorraum Zusamenfassung $4.21
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  3. Heinrich-Heine-Universität Düsseldorf (HHU / HHUD)
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  5. Informatik
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  7. Lineare Algebra I

Summary

Zusammenfassung Vektorraum Zusamenfassung
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  • Course
  • Lineare Algebra I
  • Institution
  • Heinrich-Heine-Universität Düsseldorf (HHU / HHUD)

-Menge, Verknüpfung, Gruppe, Ringe, Körper, Vektorraum -K-Vektorraum -Vektorraum Bedingungen -Erzeugenden System -Lineare Abhängigkeit/Unabhängigkeit -Basis -Rang -Dimension

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Document information

  • September 25, 2021
  • 6
  • 2020/2021
  • Summary

Subjects

  • vektor
  • vektrorraum
  • vektorräume
  • menge
  • verknüpfung
  • gruppe
  • ring
  • körper
  • k vektorraum
  • neutrales element
  • distributivität
  • assoziativität
  • inverses element
  • erzeugenden system
  • lineare abhängigkeit
  • rang
  • basis
  • li

Written for

  • Heinrich-Heine-Universität Düsseldorf (HHU / HHUD)
  • Informatik
  • Lineare Algebra I
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Content preview

eHtorraum
Menge Vertincipfung Gruppe Ring Harper Vetitorraum
No 0 1,2 MO Z t Rt K t t 113
1 Abg Halbg 3
2 Ass Monoid IR
3N Gruppe 4
4 In abelsche Gruppe IR
5 Komm
algebraische Struktur
Elemente hei
Ben Velatoren AdditionMultiplikation mit Skalar
AuchFunktionen Kohnen Velatoren sein IMatrizen
Skalare Stammen aus Korpern Vektorraum iiber Korper
Basis and Dimension

eHtorraum V
K Vetitorraum iiber demKorper K

DD 11 1133 IXy IXy 2 cIR
14 113
Vetitoraddition Bsp
it ii i t't't't to k11
KX V K V KE k ve V Skalare Multiplication
kv OK
Skaar vektor
Bsp 5
Of Is
letitorraum Bedingungen

Menge V Mit Vito che Gruppe sein
muss eine abets
1 Assoziativitoit von
0113 1111
14 1121 01120113

2 NeutralesElement von
Y e e 11 11 BeadbieYsYnEafIrppedie

o
Y Egg.me yeon

Kommutativitat von to

, mit to
Distributivitat
K y vz hook t CK V2
k.olkltoHD ffi.FI
H4
Distributivitat
Hythe v
mitt
Ky v K2 y
1561.0 41184 14 If
Assoziativitoit mit 15.61 4411
KyaHz v k K2 v
Neutralitat von e e k l I I
E V V

1123
Tz E 113 Vektorraum 11133 t


3
g
3 lo t 2
f t 4 X ty
f tZ

Baus at z

Mit E E V Hann man jedes F aus V bauen
BB E istErzeugendensystemvon V
3
g
3
g
t 2
f t 4 sq 2 f.to t3 f2g t 5
E t 1


nicht eindeutigMy
Erzeugenden System
IR Velatorraum IR't o
E Ei Ea Ten E 1133
ist Erzeugendensystem von IR
nd

H PE IR I xp xn E IR
F x I t Xz I t Xn o en


Line are bhcingigke.it

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