Question regard writing linear transformation into matrix

Hey guy, I have some problem regard to linear transformation, I can conver something like this into matrix form but I don't know how to convert "the following" into matrix form. Can you guy give me advice about how to do it?

Let be the linear transformation deﬁned by

(For example,

Find the matrix of T with respect to the standard basis for P3.

best regard

Junks

Re: Question regard writing linear transformation into matrix

Start by writing out explicitly the value of T on an arbitrary cubic polynomial ax³ + bx² + cx + d.