Representation of Group with Affine Transformation

[square173205]

A group is often represented with matrix, however when the group is generally expressed with <S;R>, for example <{x,y};{xyxy^(-1)}>, it sometimes requires hard work to find appropriate representation used with matrices. I tried to represent the group expressed with <S;R> by affine transformation in the following site;

 

ttp://hecoaustralia.fortunecity.com/affine/affinerepresentation.htm

 

It can induce the representation of the group automatically by the calculation based on <S;R>.

 

>Would appreciate it if you shared some of these ideas on the forum instead >of linking to ad-riddled pages!

 

Any (constructive) questions welcome! I'll surely debate them.