The Vector Space Axioms Flashcards
1
Q
V1
A
u + v = v + u
2
Q
V2
A
(u + v) + w = u + (v + w)
3
Q
V3
A
∃0∈V st v + 0 = v
4
Q
V4
A
∀v∈V, ∃ -v st v + (−v) = 0
5
Q
V5
A
α(u + v) = αu + αv
6
Q
V6
A
(α + β)v = αv + βv
7
Q
V7
A
(αβ)v = α(βv)
8
Q
V8
A
1v = v
