Date: Nov 14, 2012 6:20 AM Author: Jose Carlos Santos Subject: Re: Dimension of the space of real sequences On 14-11-2012 9:11, Robin Chapman wrote:
>> Can someone please tell me how to prove that the real vector space of
>> all sequences of real numbers has uncountable dimension?
>
> Consider the sequences
> (1, a, a^2, a^3, ...)
> as a runs through the reals.
Great! Thanks.
Best regards,
Jose Carlos Santos