(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Suppose V=<Z> where Z is an infinte set, So Z spans V.

Suppose that every pair of distinct elements of Z is linearly independent.

Is it possible that V is finite dimensional? Justify your answer.

2. Relevant equations

3. The attempt at a solution

All the vectors must be linearly independent if any two are so...

I dont think you can as a basis for the space would have infinte linaerly independent vectors.

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# Homework Help: Span of an infinite set. Exam Question.

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