- #1
B18
- 118
- 0
Homework Statement
Determine if they given set is a vector space using the indicated operations.
Homework Equations
The Attempt at a Solution
Set {x: x E R} with operations x(+)y=xy and c(.)x=xc
The (.) is the circle dot multiplication sign, and the (+) is the circle plus addition sign.
I tried to use axioms 1,2,3,6,7,8,9,10 to prove it isn't a vector space and have not found anything yet. I am not entirely sure how I can define the 0 vector which is why i haven't tried axioms 4, and 5.
Anyone able to steer me down the right path on this one?