U is the subspace of P(F) consisting of all polys in the form

p(z)= a(z)^2 + b(z)^5. a,b are in F.

Find a subspace W of P(F) s.t. P(F)= U + (direct sum) W.

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- Jan 22nd 2007, 03:11 PMtaypezanother Linear Algebra problem
U is the subspace of P(F) consisting of all polys in the form

p(z)= a(z)^2 + b(z)^5. a,b are in F.

Find a subspace W of P(F) s.t. P(F)= U + (direct sum) W. - Jan 22nd 2007, 03:24 PMPlato
U has a basis of: {<0,0,1,0,0,0>, <0,0,0,0,0,1>}.

What must the basis look like to complete the space?