5. P, is a basis for polynomials of degree 2. ie. It contains a constant, a linear term and a quadratic term, P- (1, z, r). In P, determine the component vector of p (r) = 5 + 7r - 3r relative to the following: (1, z,). [5 marks) (a) The standard (ordered) basis B (b) The ordered basis C = (1 + 1,2 + 3z, 5 + r + r). [5 marks)
