Exercise 1.2.20

Question

Let $V$ denote the set of all real-valued functions $f$ defined on the real line such that $f(1)=0$. Prove that $\mathrm{V}$ is a vector space with the operations of addition and scalar multiplication defined in Example $3 .$

Jephian C.-H. Lin · Accepted Answer

A sequence can just be seen as a vector with countable-infinite dimensions. Or we can just check all the condition carefully.

Exercise 1.2.20

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Exercise 1.2.20

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