Mathématiques/Exemples de questions de colle/25 Algèbre linéaire

E a ∈E|E\{a}| =|E| − 1
E F f ∈FEf⇔f
FE |P(E)|
n
m∈C
mx +y+z= 1
x+my +z=m
x+y+mz =m2
mx +y+z+t= 1
x+my +z+t=m
x+y+mz +t=m+ 1
E F f :E→F
f(f(E)) = (E)
A B E F
f:E→F
A E f(A)F
f(A)F A E
B F f−1(B)E
f−1(B)E B F
E n
E n
X p E
Y E X
(X, Y )E
A E n p =A
X E A
X E m ∈ {p, . . . , n}A
(X, Y )E X ∩Y=A