October 29th, 2010, 12:44 AM  #1 
Member Joined: Apr 2010 Posts: 91 Thanks: 0  Matrix right inverse
Find all rightinverses of the matrix Attempt: (A  R): = Now I tried to get the matrix into the form of (I  R) by gauss reduction: but this will never work since the matrix on the left is 2 x 3 and not 2 x 2 and thus I will never get on the left What can I do? 
October 29th, 2010, 02:17 PM  #2 
Global Moderator Joined: Nov 2009 From: Northwest Arkansas Posts: 2,766 Thanks: 4  Re: Matrix right inverse
Shootin in the dark, here... Write out what the actual elements of the product would be on the left hand side... since the matrix on the right hand side has a "1" in it's upper left hand. Now I'll write the lower left hand element... Add twice the first equation I wrote to the second... > The process is similar for the y's. You solution will be any matrix of the form that you wrote, where and is free. (Well, this, plus the similar result for the y's...) 
October 29th, 2010, 03:39 PM  #3 
Member Joined: Apr 2010 Posts: 91 Thanks: 0  Re: Matrix right inverse
The answer in my notes was: where , I am confused as I dont see the similarity to: and 
October 29th, 2010, 08:51 PM  #4 
Global Moderator Joined: Nov 2009 From: Northwest Arkansas Posts: 2,766 Thanks: 4  Re: Matrix right inverse
If you sub those values for x2 and y2 back into the equations, you'll get something more easily comparable to the given solution


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