Is this Set and Operation a Vector Space?

heytheree
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question in attachment. please help!
 

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Well what do you need help with?
 
im confused on how to prove this
 
What are the vector space axioms? Once you have these listed, then check if your space satisfies each of these axioms.
 
whats a vector axiom?
 
Do you know what a vector space is?
 
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.
 
yeah..i know what a vector space is..
 
heytheree said:
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.
 

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