Class notes
Algèbre linéaire
- Course
- 201-NYC-05
- Institution
- Collège De Rosemont ( )
The document contents all the notes for algèbre linéaire.
[Show more]
Seller
Follow
Content preview
Jessica Nadeau, cours I 23 Janvier 2023
1:
Matrices CTableau
denb
)
Def une matrice de dimension mm est un tableau
:
I desements
rectangulaire de nombres constitue de m
lignes
et dem colonnes
.
p de
nb
ligne n colonne
im M
Notation A B
:
,CietC
,
clettres majuscules
)
la matrice
pour
A j
a
ann
4ais.
=I"
oz 0 a . .
dcd
z2
2s.
,
am ama ams . .
mm
,
i esélements de la matrice
sont
aij
eX
:
I
2 3 6 I
A =
2 3 -
2 vs
l
m = 2 i
a
1:2
n
=
21 az
=
B
4
3
C =
6
13
, Autres notations
:
Aman Amn
,
IaijJmxns kicm
spimension iç jem
jecolanne
i ligne
=
mest de
le nb
ligne
n est le nb dle colonnes
Remarque metn
:
Déterminer lordre dela matrice
Matrice particulière
:
une matrice nulle est one matrice on tow élement sont
leso
Notation Omxn
:
-
-
Omn 0
,
00J
Osx
ex
3-[
:
00
o
O
8}
x
1
=
3
Def
ix
une matrice
ligne u
est une matrice
:
ex Aix = t oJ
:
3
EB
21 une matrice colonne est one matrice mxI
, exB I
3x1
[ -
5
1 7
carrée
e une matrice dordre n est une matrice
ayant n
ligne et
n colonnes
.
Notation anxn
:
-
" ili
s
cm
m -
2
C 5
ex
:
E
-.2
o
DeF diagonale
-
-
principale dine matrice carrée sonties
élements an Q
33
,.a22,
2 diagonale secondaire (2 sont les
e)
a
elements
a
azn n
azin ain
-2),
-1,
,
carrée ANXN est la
somme
3) 2 trace d matrice
a
'ine
des élements de la
diagonale principale
.
TrCA +--- ann
)-Anta22
zzaii
=z
ex
}
:
-
-
l
B z o i 2
z ul 5
7 8
G
014 .8
Diagonale principale
:
secondaiib
Diaganale
:
8=17
4
T
TrCB
)
OT
matrice carrie A
DEF
tricngulaire
une est
:
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 jessicanadeau. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for CA$51.09. You're not tied to anything after your purchase.
Can Stuvia be trusted?
4.6 stars on Google & Trustpilot (+1000 reviews)
76449 documents were sold in the last 30 days
Founded in 2010, the go-to place to buy study notes for 14 years now