Re: linear algebra



In article
<16285526.1142915917383.JavaMail.jakarta@xxxxxxxxxxxxxxxxxxxxxx>,
josie <toto_toto_@xxxxxxxxxxx> wrote:

can someone explain this to me?
if we let V = R^2 = {(a,b)| a,b element R} be a vector space of column
vectors of length 2.

How do u show that

W = {(a,b)| a,b element Z}

is not a vector subspace of V?


I know u need to show it's not empty and prove S1 and A1 which i can normally
do, but this question stumps me... any help?

If the field of scalars is to be of characteristic zero, as seems
likely, is 1/2 times a member of W always a member of W?
.