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If we have AB = CD for matrices A,B,C,D, then is it true that AGB = CGB for another matrix G?

If we have AB = CD for matrices A,B,C,D, then is it true that AGB = CGB for another matrix G?

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Coniven hat ABECD. J4 Jmi pl B &D coth idontity modiz BI B& I DED OY IB-B &DI-D. -*a GB tue only for G I CGD is

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