We have the following data

The transformation of the state between stations 0 and 1 can be written as

(a)   (b)

(c)         (d)

Similarly, the transformation of the state between stations 1 and 2 can be written as

(e)   (f)       (g)

On substituting equation (a) into equation (e), we get the overall transformation of the state from station 0 to 2, as

(h)     (i)

The expanded form of equation (i) has the following form

(j)