Question: (3+3+4 points) Show that in a vector space V , (a) (1)v = v for every vector v V. Cite all axioms used. (b) (a)v

(3+3+4 points) Show that in a vector space V , (a) (1)v = v for every vector v V. Cite all axioms used.

(b) (a)v = (av) = a(v) for every v V and a R. Cite all axioms used. (

c) By calculating (1 + 1)(u + v) in two ways (using axioms S1, S2 and S4), show that axiom A1 (commutativity of vector addition) follows from the other vector space axioms.

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