Let X = (1, 2x - 1) be a basis for R2. Suppose that T is a linear transformation such that T(x) = x + 1/2 and T(1) = 2x + 1. Find RxxT the matrix representation of T with respect to the basis X.

Does this mean-

(1)(A) = T(1)

(2x - 1)(B) = T(x)

and the resulting matrix representation, RxxT is made up of A and B? Thanks.