• Jan 13th 2010, 09:33 AM
conmeo
1. Prove that the most general transformation which leaves the origin fixed and preseerves all distances is either a rotation or a rotation followd by reflexion in the real axis.

2. Show that any four distinct points can be carried by a linear transformation to position 1, -1, k, -k, where the value of k depends on the points. How many solutions are there, and how are they related?

In what space are you working? I would think $\mathbb{C}$ but then 2 is obviously false: 1,2,3,4