Recent content by bionet

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    Prove that W is a subspace of P_4(t)

    Ok, for anyone who has come across my problem via search, there are a few things that you need to know. Span of vectors = subspace p(t) = a0 + a1t1..+ a4t4 With p(0)=0 a0=0 W={a1t...a4t4 span = { t, t^2, t^3, t^4 }
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    Prove that W is a subspace of P_4(t)

    Alright! I get that. However, what I don't get is the question. I see you listed a few polynomials as examples that satisfy vector 0 being an element of the subspace, but what is the question asking for? There is no polynomial or equation associated with the question.
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    Prove that W is a subspace of P_4(t)

    so P(x)=0 lies in our subspace of P_4 because it is an example element in P4
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    Prove that W is a subspace of P_4(t)

    I edited my original post for the first condition. I'm not sure how to check for p(x)=0 to lie in our subspace. I think I may be a bit confused by P_4(x). What does the P_4 mean?
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    Prove that W is a subspace of P_4(t)

    Homework Statement Let W = {p(t) ∈ P4(t): p(0)=0 }. Prove that W is a subspace of P4(t)Homework Equations noneThe Attempt at a Solution I know three things have to be true in order to be a subspace: 1. zero vector must exist as an element 2. if u and v are elements, u+v must be an element 3. if...