"Alexander Malkis" <firstname.lastname@example.org> wrote in message news://email@example.com... > 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= > Hi!
Where has my reasoning gone wrong here? Suppose all matrices are square, and that AXA = AYA is true. If I pre- and post-multiply both sides by A-inv, I get X = Y. Thanks for your advice on this.