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I have two sets:

\[W={\begin{pmatrix} a &2b \\ c-b &b+c-3a \end{pmatrix}|a,b,c\epsilon \mathbb{R}}\]

\[V=ax^{2}+bx+c|(a-2b)^{2}=0\]

I need to determine if these sets are sub vector spaces and to determine the dim.

I think that W is a sub space and dim(W)=3 (am I right?)

I don't know how to approach V....any help will be appreciated