
Algèbre Linéaire
Authored by Maria Alice Bertolim
Mathematics
University
Used 9+ times

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12 questions
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1.
MULTIPLE SELECT QUESTION
30 sec • 1 pt
Une application
est linéaire si et seulement si:
u(λx+y)=u(λ)x+u(y)
u(x+y)=u(x)+u(y)
u(λx+y)=λu(x)+u(y)
u(λx)=λu(x)
2.
MULTIPLE SELECT QUESTION
30 sec • 1 pt
Est ce que l'application suivante est linéaire?
Vrai
Faux
3.
MULTIPLE SELECT QUESTION
30 sec • 1 pt
Est-ce que toute application linéaire peut être représentée par une matrice?
Vrai
Faux
4.
MULTIPLE SELECT QUESTION
30 sec • 1 pt
On appelle base d'un espace vectoriel toute famille
liée et génératrice
génératrice
libre
libre et génératrice
5.
MULTIPLE SELECT QUESTION
30 sec • 1 pt
est une valeur propre d'une matrice A
si il existe un vecteur X
t.q:
XA=λA
λA=λX
AX=λX
A=X
6.
MULTIPLE SELECT QUESTION
30 sec • 1 pt
Si
alors A
est diagonalisable.
est inversible
est non injective
a ses colonnes qui forment une famille liée
7.
MULTIPLE SELECT QUESTION
30 sec • 1 pt
A admet n valeurs propres distinctes si et seulement si n est diagonalisable
Vrai
Faux
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