Find the matrix representing linear transformation.

Question

Problem:

Let V= Q3 and let φ be the linear transformation form V to itself:

               φ(x,y,z) = (9x+4y+5z,-3z-6x-4y-2z), x,y,z∈Q

With respect to the standard basis B find the matrix representing this linear transformation.

Take the basis ε = {(2,-1,-2),(1,0,-1),(3,-2,-2)} = {ei} for V and find the matrix representing φ with respect to this basis i.e. M_ε^ε(φ). Find the matrix P that conjugates A=M^B_B(φ)