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Determine if the given set V is a subspace of the vector space W, where a)...

Determine if the given set V is a subspace of the vector space W, where

a) V={polynomials of degree at most n with p(0)=0} and W= {polynomials of degree at most n}

b) V={all diagonal n x n matrices with real entries} and W=all n x n matrices with real entries

*Can you please show each step and little bit of an explanation on how you got the answer, struggling to learn this concept?*

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