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June 20th, 2009, 01:03 PM  #1 
Newbie Joined: Jun 2009 Posts: 1 Thanks: 0  Solving Matrix Equations
Is there any way to solve matrix equations A=BX, where A, B and X are all n*n matrices, and you know A and B but not X, and det(A)=det(B)=0, so you can't use an inverse? If there's no generalized way, is there any theory about how to get started on this problem? Any links or references would be appreciated. Google can't seem to focus on this particular topic because anytime you search for solving matrix equations, you get links to solving Ax=b, where x and b are vectors and not matrices. Thanks much! 
June 20th, 2009, 04:31 PM  #2 
Global Moderator Joined: May 2007 Posts: 6,763 Thanks: 697  Re: Solving Matrix Equations
Suggestion: treat X as a set of n vectors with A also a set of n vectors. Then you can use whatever method there is when B is singular for a=Bx to get each of the x vectors.


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