A transformation T is given by:

(i). Write down the matrix representing the transformation .

(ii). The transformation S is an anticlockwise rotation through about the origin.

Find the matrix representing the transformation .

(iii). Find the single matrix representing the transformation followed by the transformation .

My answers:

(i).

(ii).

(iii).

Are these answers correct? I'm fairly sure about part 1, but not too sure about part 2 as I wasn't 100% sure on how to work it out. If part 2 is wrong, part 3 will also be wrong, but I'd only like assistance with part 2 .