Find a vector r(t) = at^2 + bt + c such that the set B = {2t + 1, t^2 - 1, r(t)} is a basis for P2.
Find the values of a, b, c such that B is a basis. Find the general condition and then give a particular solution.
Find the values of a, b, c such that B is a basis. Find the general condition and then give a particular solution.