Other
Lernzettel Mathe für Physiker
- Course
- Institution
Zusammenfassende Info Blätter
[Show more]
Seller
Follow
aliyhischke
Content preview
RechenCIETERMINANTE
LAPLACE
ENTWICKLUNGSSATZ
SEPS
(1) Zeite (oder Spaltel auswählen
(2) (näherimmer
Vorzeichen eintragen
(3) Spalten (oder teilen) streichen
I eins"Ite cet(g?
>
det (th.det(cei
=-
b.((di) (g.f)) e.((a.i) (g.d) h.((a.f) (d.c)
-
+
-
+
-
, DIL
Betrachte eine AeMatexz (R) mit Je, 62 & Er, z.
Schreibe die EU in und Er als
Spalten in einen
Matrix
und multipliziere A.
mit
A(irz) x/")** )( we
=
1
=> A.V V. 1
=
1.V von
-
rechts
E) VAV= X bew. A: UV
, TEBsBI
in
Ba
MON
Ein UR V endlichdimensional,
heit wenn er eine Basis ve, Un
....
hat. In diesem Fall man
nennt die Dimension von V.
clim V:
=
n
:
Sei dim V=n mit, in, ...,
VmEV linear
unabhängig.
Dann
gilt m=
n.
2:
#
Sei V endlichdimensional und UCV ein UVR.
Dam auch
ist in endlichdimensional und dim n=
dim V.
Z:
#
Seit endlichdimensional, UCV Untervektorraum
mit
dim dim V. Dam
H=
giltU V.
=
DIMESIONSFORMEL für UVR
V sei VR, U, UzV endlichdimensionaler UVR
Dam
gilt:
dim (Unn Uz) + dim (Un+Uz) dim
=
Un + dim Uz
, ⑲werfräsen
DEFINITON:
Maieine
Eigenvektorbleibenbei Multiplikationin
einer
um einen
Eigenwet skaliert
AY 6 =
Ewerte sind (in unabh
#:zu verschiedenen gehörende Elektoren
How to RECHNEN:
1) Determinante berechnen:
Ansatz:At=jy= bInt ) (A-Ind) Y 0
=
det(A-Ind ~>
det (A-Ind) 0=
charakteristisches Polynom P(D)
2)
P(a) cet/A-Ind) =0
=
liefertEigenwerte beide, ...
bestenfaus
Eigenvektoren
↳
3)
numerisches lösen von Ar=jü liefertEigenv. Erz... n
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller aliyhischke. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $9.00. You're not tied to anything after your purchase.
Can Stuvia be trusted?
4.6 stars on Google & Trustpilot (+1000 reviews)
52355 documents were sold in the last 30 days
Founded in 2010, the go-to place to buy study notes for 14 years now