My Math Forum  

Go Back   My Math Forum > College Math Forum > Linear Algebra

Linear Algebra Linear Algebra Math Forum


Reply
 
LinkBack Thread Tools Display Modes
April 9th, 2018, 10:00 PM   #1
Newbie
 
Joined: Apr 2018
From: Italy

Posts: 2
Thanks: 0

Mapping beetween affine coordinate functions



As the book says , an affine function of a line is A→R and represent the real number that, multiplied for a basis and starting from an origin of the line gives a certain point of the line, so a origin of the line and a basis is implicitly taken when defining the affine coordinate function.

Suppose we have 2 affine lines (NOT paralells), for each line we set an arbitrary origin and an arbitrary basis. I choose a point P in the first line and i get x(P) = 3. Then, I choose an arbitrary point P' in the second line , and i get y(P') = 1 . So, the mapping beetween the first line and the second line is F(α)=α/3.

Why it's wrong and F(α) should be F(α)=rα+s, and not just F(α)=rα as my result ?
Aleoa is offline  
 
Reply

  My Math Forum > College Math Forum > Linear Algebra

Tags
affine, beetween, coordinate, function, functions, mapping



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
function vs transformation vs mapping ungeheuer Algebra 9 October 18th, 2015 05:02 PM
About mapping and inverse mapping. idiotinmath Abstract Algebra 1 January 30th, 2015 05:49 AM
mapping function shine123 Linear Algebra 1 October 21st, 2012 12:54 PM
Mapping a function based on some data mateobus Algebra 2 February 11th, 2008 07:18 PM
function vs transformation vs mapping ungeheuer Calculus 0 December 31st, 1969 04:00 PM





Copyright © 2018 My Math Forum. All rights reserved.