Question

how do you define vector spaces?

Answer 1

ten axioms

Answer 2

well, 3 in which the others follow. right?

Answer 3

can you explain the ten axioms?

Answer 4

has a zero vector

is closed under addition and scalar multiplication

Answer 5

ok thanks.

Answer 6

those are the only ones I remember ..... since im led to believe that the rest are just consequences to them

Answer 7

If you want a nice list, wikipedia has a great one here. http://en.wikipedia.org/wiki/Vector_space#Definition

Answer 8

For V, to be called a vector spaces the ten axioms must be satisfied, it if good to atleast check all ten, since it might occur that some of the aioms will be satified but other might not. If you already know what a set is a vector space, then for sure you only need to check the three axioms that amistre mentioned

Answer 9

i think my posts just got flipped about :/