Need help with the following linear algebra question.

Thanks.

45. Let the linear transformation 8 : R3 > R3 be given by the formula 8(3, y, z) = (cc | 2y32,2:1:+y+z,3y+5z). (a) Find the matrix of this transformation in the basis m = (1, 1, 0), H2 2 (1,2, 3), 113 = (1,3,5). (b) Find the components of the vector 51), where 1) = (1, 1, 1) in the usual basis, with respect to the basis m, 11.2, 1153