
Linear Algebra Linear Algebra Math Forum 
 LinkBack  Thread Tools  Display Modes 
March 5th, 2009, 09:51 AM  #1 
Newbie Joined: Mar 2009 Posts: 3 Thanks: 0  Linear Algebra.Linear Transformation.Help
Suppose T is the linear transformation on R^3 that takes each point (x,y,z) to (x+y+z, x+y,z). Describe what T^1 does to the point (x,y,z). Thanks in advance. 
March 5th, 2009, 01:48 PM  #2  
Global Moderator Joined: May 2007 Posts: 6,727 Thanks: 687  Re: Linear Algebra.Linear Transformation.Help Quote:
x'=x+y+z y'=x+y z'=z Since x+y=u will give the same values for x' and y' for any x and y with that u, you can't invert T.  
March 5th, 2009, 01:49 PM  #3 
Senior Member Joined: Feb 2009 Posts: 172 Thanks: 5  Re: Linear Algebra.Linear Transformation.Help
Observe for example that and . Hence but . So T is not injective wich means it doesn't have an inverse.


Tags 
algebralinear, linear, transformationhelp 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Linear Transformation  bilano99  Algebra  2  April 2nd, 2012 11:21 AM 
Linear Transformations in Linear algebra  matqkks  Linear Algebra  1  February 7th, 2012 01:39 PM 
Linear algebra Transformation Proofs Help Please  mmmboh  Linear Algebra  1  February 8th, 2010 06:48 AM 
Linear Algebra.Linear Transformations.Help!!  ypatia  Linear Algebra  1  March 2nd, 2009 06:28 PM 
Linear Transformation  MarianaA  Number Theory  0  December 8th, 2007 03:17 PM 