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  3. define ?? [?] = {?(?) ? ?[?]|deg ?(?) ? ?}. one ca

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

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Advance Math

Define ?? [?] = {?(?) ? ?[?]|deg ?(?) ? ?}. One can show ?? [?]is a vector space. Let ? = {?(?) ? ?4 [?]|?(6) = 0}.

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

b) Extend the basis in part (a) to a basis of ?4 [?].

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