4. Let   and       be two bases for the vector space of poly…

4. Let   and       be two bases for the vector space of polynomials of degree less than or equal to 1.   a) Find , the matrix relative to the basis of the linear transformation which takes   into via the relations and . b) Suppose a polynomial has coordinate representation relative to given by  [recall this means that if we identify the elements of the basis by the polynomials and then ]. Find , the  coordinates of relative to