matrix equation PAQ=B with know A,B; determine full rank P, Q

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I think I'm stuck in an odd question. Here's it

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I think the answer should be unique since the question requires full rank matrix. Otherwise it will be simple as matrix left/right multiplication is basically linear combination of rows and columns, I guess there are many combinations can achieve the RHS. I don't even know how to start. can you guys please give me some hint to solve the question. Thanks very much!