How can be demostrated that affine transformations transform lines in lines?
i have just began studying functions, and i read in the chapter about geometric trnsformations that an \'affine transformation\':
1) always transforms lines into lines, and i managed to demonstrate it mathematically
2) each transformation that implies a transformation of lines into lines must be an \"affine\" an described before.....well, i found demonstrating this very difficult...can anybody help me??
thanks to everyone!
Question asked by: dariogar
Asked on: 11 Feb 2010
That does sound difficult!
I have never heard of affine ones.
Hopefully someone else will be able to help you with your enquiry.
Replied at: 21 Feb 2010Rate Answer
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Comments and other answers:
Im not sure what you are saying is totally correct. Affine transforms send a variable x to a linear map in another vector space. As to showing the other way I would suggest possibly my matrix multiplication if you know how to do this
Date of comment: Tue, Jun 8th 2010
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