Understanding Matrix Transformations: Question and Solution

[nokia8650]

Question and solution

http://img141.imageshack.us/img141/4881/74319855am1.th.jpg

http://img141.imageshack.us/img141/1295/58915812pu1.th.jpg

Can someone please explain the solution - why is the right hand matrix
t(k-4)
t(1+k)?

Thanks a lot in advance

 

[Werg22]

It's the Cayley product of the matrices on the left-hand-side.