# Linear Algebra And Differential Equations: Real Vector Space

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Determine if the given set constitutes a real vector space. The operations of "multiplication by a number" and "addition" are understood to be the usual operations associated with the elements of the set: The set of all elements of R^3 with first component 0

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##### Solution Summary

The solution is comprised of an explanation for real vector space.

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A set V is a 'vector space'if and only if:

There is an addition '+' in V such that V,+ is a commutative group. ...

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