
Re: matrix analysis: can I say matrix X=Y if I have AXA=AYA?
Posted:
Mar 10, 2004 4:32 PM


"Alexander Malkis" <alexloeschediesmalk@line.cs.unisb.de> wrote in message news://c2nuc6$18r7$1@hades.rz.unisaarland.de... > 1. the dimensions of A,X,Y should be compatible, in this case I think > they should be all square matrices. > > 2. If you require that AXA=AYA for all matrices A, then it would > certainly hold for A=identity matrix. > > 3. If A is some unknown matrix, i.e. then AXA=AYA tells you not much. > E.g. if A=[0] > Hi!
Where has my reasoning gone wrong here? Suppose all matrices are square, and that AXA = AYA is true. If I pre and postmultiply both sides by Ainv, I get X = Y. Thanks for your advice on this.
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