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33. Vl Ana1LinA Eigenwerte und Eigenvektoren $3.23   Add to cart

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33. Vl Ana1LinA Eigenwerte und Eigenvektoren

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Dies ist eine vollständige Vorlesungsmitschrift zur 33. Vorlesung des Moduls Analysis I und lineare Algebra für Ingenieurswissenschaften. In dieser Vorlesung werden Eigenwert und Eigenvektoren einer Matrix thematisiert. Dabei werden die Berechnung von Eigenwert und -vektoren und das charakterisch...

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  • February 5, 2023
  • 9
  • 2022/2023
  • Class notes
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f IR IR GEFAI


1A
Bsp E
f f HE
µ
Öfter
e
µ

2 A
E IT LEHE
EH I I I

HAD E



3 Af FEIERT ZE
flit o.LI
HE

4 A E

, Definition Eigenwert und Eigenvektor
Sei AE Ik eine quadratische Matrix Wenn
gilt
A E JE I E K E e IK Ü Ö

dann heißt

A Eigenwert von A
T Eigenvektor von Azam Eigenwert 7


E Ö
fallstrivial wäre die Gleichung AF A E
füralle te Ik richtig
Bsp 1
A K
A
III 1T 7 1 ist ein Eigenwertvon A
f E ist ein Eigenvektoren 7 1



A EE 1 E 7 1 ein Eigenwert

ein Eigenvektor zu 7 1



Af
A E 2 E A 2 ein Eigenwert

E H ein Eigenvektor zu 7 2


A ff A 0 ein Eigenwert

E ein Eigenvektor zu 7 0

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