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bionet
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Homework Statement
Let W = {p(t) ∈ P4(t): p(0)=0 }. Prove that W is a subspace of P4(t)
Homework Equations
none
The 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 u is an element cu is an element
I'm a bit confused. I've done some searching on this forum + my textbook, and I haven't seen any questions in this particular format. Any help would be greatly appreciated.
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