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Old June 20th, 2008, 12:43 PM
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Quote:
Originally Posted by Kim Nu View Post
Hi,

Could someone explain to me why the set of all elements of R^3 with the first component of 1 is not a real vector space? I'm lost on this one. Thanks,

Kim
To be a vector space all linear combinations of elements would have to be in the set, but as the sum of any two elements is not in the set it is not a vector space.

RonL
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