# Vector Spaces

• May 20th 2008, 10:08 AM
kdynamos
Vector Spaces
I am struggling with the following question. I need to redefine a vector space in such a way that only four axioms are required. I think I have the four identified as follows:
1. u + v is in V
2. u + 0 = u
3. u + -u = 0
4. cu is in V

Am I in the ball park here at all. I would appreciate any help

thanks
• May 20th 2008, 10:47 AM
Isomorphism
Quote:

Originally Posted by kdynamos
I am struggling with the following question. I need to redefine a vector space in such a way that only four axioms are required. I think I have the four identified as follows:
1. u + v is in V
2. u + 0 = u
3. u + -u = 0
4. cu is in V

Am I in the ball park here at all. I would appreciate any help

thanks

I think you need to replace 3) by $1u = u$. This is very important...