Define ?? [?] = {?(?) ∈ ?[?]|deg ?(?) ≤ ?}. One can show ?? [?] is...

Define ?? [?] = {?(?) ∈ ?[?]|deg ?(?) ≤ ?}. One can show ?? [?] is a vector space. Let ? = {?(?) ∈ ℝ4 [?]|?(6) = 0}.

a) Find a basis for ?. Assume that for any field ?, ?? [?] is a vector space

b) Extend the basis in part (a) to a basis of ℝ4 [?].

Expert Solution

Colby Messinger answered 3 months ago

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