Let U = Span (1,1 ln(x), In(x)²). Then U is a vector T space of dimension 3, with basis
B = {x, xln(x), z ln(x)²}
Let E: U → U be the linear transformation given by
E(f(x)) = xf'(x)
(You do not need to show that U is a vector space, that B is a basis, or that E is a linear transformation from U to itself.)

Find the matrix representing E in the basis B.