U and W are subspaces of V = P3(R)
Given the subspace U{a(t+1)^2 + b | a,b in R} and W={a+bt+(a+b)t^2+(a-b)t^3 |a,b in R}
1) show that V = U direct sum with W
2) Find a basis for U perp for some inner product
Attempt at the solution:
1) For the direct sum I need to show that it...