(adsbygoogle = window.adsbygoogle || []).push({}); A basic qn:An infinite sum of vectors will also be a vector in the same vector space?

By definition, the sum of any two vectors of a vector space will be a vector in the same vector space. But does this mean the sum of an uncountable or countable number of vectors will also be a vector in the same vector space?

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# A basic qn on the inner product of a vector with an infinite sum of vectors

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