I think this is the same assignment as the one I'm doing - I'm basically in the same position as matt90, and have spent hours doing research on this with no luck. I would also really appreciate any additional help you have to offer.
Help with part of my Linear Algebra project - "r-similitudes"
Homework Statement
Definition: An "r-similitude" on ℝ² is an affine mapping f:ℝ²→ℝ² such that, for all x and y in ℝ², ǁf(x)-f(y)ǁ = rǁx-yǁ (where ǁ·ǁ denotes the Euclidean distance in ℝ²)
Let ABC be an equilateral triangle such...
ℝHomework Statement
I'm a 2nd year undergraduate student, so I suppose many users here won't find this too difficult, but I've had some issues with the following questions and, of course, any help would be very much appreciated:
(i) Prove f: V→W is affine (where V and W are real vector space)...