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June 20th, 2009, 01:03 PM   #1
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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!
phileas is offline  
June 20th, 2009, 04:31 PM   #2
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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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