Is this Set and Operation a Vector Space?

[heytheree]

question in attachment. please help!

 

[jgens]

Well what do you need help with?

 

[heytheree]

im confused on how to prove this

 

[jgens]

What are the vector space axioms? Once you have these listed, then check if your space satisfies each of these axioms.

 

[heytheree]

whats a vector axiom?

 

[jgens]

Do you know what a vector space is?

 

[HallsofIvy]

Clearly whoever gave you this problem expects you to know what a "vector space" is. The various "rules" given in the definition of "vector space" are the "vector space axioms" jgens is referring to.

 

[heytheree]

yeah..i know what a vector space is..

 

[Robert1986]

yeah..i know what a vector space is..

Ok, then just go 1-by-1 through the axioms and see if this set and this operation "pass" each one. If it doesn't pass one, then it isn't a vector space.