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.
Solution Preview
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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