23. In the space P1 of the polynomials of degree 1, we define the inner product = 1/2(f(0)g(0) + f(1)g(1))

a) (10 points) Find the coordinate matrix PB of the given inner product with respect respect to the basis B = (1, t) of the linear space P1. b) (10 points) Use the matrix PB to compute the product 3 5t, 4 + t. c) (5 points) Use the definition of the inner product to recover the previous result.