What kind of audience is this aimed at?? Why do you teach this topic assuming your audience haven't learned linear algebra? Some of the proofs can be much simpler. e.g. that every Mobius transf. is a composition of 3 kinds is because composition of Mobius trs can be seen as a group action of GL(2,C); those 3 kinds of transformations are related to the three kinds of elementary matrices and every invertible matrix is a composition of elementary matrices
great stuff.. thank you
What kind of audience is this aimed at?? Why do you teach this topic assuming your audience haven't learned linear algebra?
Some of the proofs can be much simpler. e.g. that every Mobius transf. is a composition of 3 kinds is because composition of Mobius trs can be seen as a group action of GL(2,C); those 3 kinds of transformations are related to the three kinds of elementary matrices and every invertible matrix is a composition of elementary matrices