Let T be the linear operator on P1(R) defined by T(p(x))= p'(x), the derivative of p(x). Let B = {1,x} and B' = {1+x, 1-x}.Use the following theorem and the fact that:

|1 1| ⁻¹ = |1/2 1/2|
|1 1| |1/2 1/2|