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# truth tables watch

1. let X be a set and P(X)be power set of X
Show that P(X)together with additionY + Z := (Y ∪ Z) \ (Y ∩ Z) (Y, Z ⊆ X)and the scalar:0 · Y := ∅, 1 · Y := Y (Y ⊆ X)becomes a vector space over the Field

F2 := (R2, ⊕,∙∙ )The associativity of addition can be justified through charts.
2. (Original post by CammieInfinity)
let X be a set and P(X)be power set of X
Show that P(X)together with additionY + Z := (Y ∪ Z) \ (Y ∩ Z) (Y, Z ⊆ X)and the scalar:0 · Y := ∅, 1 · Y := Y (Y ⊆ X)becomes a vector space over the Field

F2 := (R2, ⊕,∙∙ )The associativity of addition can be justified through charts.
You just need to run through the vector space axioms - you should have a list of them - and check that they all hold in this instance.

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Updated: November 8, 2015
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