We have shown that the set of functions with operations of pointwise addition and scalar
Chapter 4, Problem 3(choose chapter or problem)
We have shown that the set of functions with operations of pointwise addition and scalar multiplication, with domain the set of real numbers, satisfies axioms 1, 2, 5, and 6 of a vector space. Prove that this set also satisfies the remaining vector space axioms, completing the proof that this set is a vector space.
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