Subspace: Is H={p in P3:p(0)=0} subspace of V=P3?

jacko

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Sep 11, 2007
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* Determine whether H, a subset of the vector space V, is a subspace of V.
V=P3, H={p is an element of P3: p(0)=0

Do i just have to prove that H is non-empty, closed under addition and closed under scalar multiplication to prove if H is a subspace of V? How does this relate to p?

Any help is greatly appreciated!! :D
 
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