Determine whether the given set is a vector space. If it is not, list the axioms (conditions) that do not hold. (a)
V=R^(2)
and
F=R
and define
((a)/(b))((c)/(d))=((a+2c)/(b+2d)), and ,\alpha *((a)/(b))=((\alpha a)/(\alpha b))

Question

Determine whether the given set is a vector space. If it is not, list the axioms (conditions) that do not hold. (a)

V=R^(2)

and

F=R

and define

((a)/(b))((c)/(d))=((a+2c)/(b+2d)), and ,\alpha *((a)/(b))=((\alpha a)/(\alpha b))

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