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How can I work out which subset is a subspace and which one isnt on this problem:

Fq ([0,1]) be vector space of all functions [0,1] -> Q with addition and scalar multiplication defined in usual way.

Let U < Fq ([0,1]) be the subset consisting of all functions f s.t. f(0) >= f(1) and let

V < Fq([0,1]) be subset consist of all functions f such that f(0) = f(1).

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And lastly if C2 is a complex vector space consisting of pairs (z1 and z2) of complex numbers whats the 3 different bases for (Complex numbers base 2)?

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# Homework Help: Vector bases and functions

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