A plane figure S is to be translated by And then the resulting figure translated by (a)

Question:

A plane figure S is to be translated by

And then the resulting figure translated by

(a) Determine the 3 x 3 matrix M in homogeneous form that will perform this composition of translations,
(b) Can the transformations be reversed? That is, is it possible to determine a matrix P that will return the image from part (a) to the original position? If it is possible, determine the matrix P. Explain your construction of P.