Espace vectoriel

Question 1

P2

Answer 1

u + ( v + w) = ( u + v) + w

Question 2

P1

Answer 2

u + v = v + u

Question 3

P3

Answer 3

0 E V tel que
u + 0 = u = 0 + u
pour tout u E V
(existence de l’élément neutre)

Question 4

P4

Answer 4

u E V il existe -u E V tel que
u + -u = 0 = -u + u
(existence de l’inverse additif )

Question 5

P5

Answer 5

1 * u = u

Question 6

P6

Answer 6

k * ( u + v ) = ( k * u ) + ( k * v )

Question 7

P7

Answer 7

( k + l ) * u = ( k * u ) + ( l * u )

Question 8

P8

Answer 8

k * ( l * u ) = (kl) * u