Matrix representation for transformation

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HallsofIvy
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I see nothing wrong with it. I was at first taken aback that you could do that with non-similar matrices but of course, saying that two matrices, A and B, are not similar only means there does not exist a single matrix, P, such that [itex]P^{-1}AP= B[/itex]. Your Q is not the inverse of P.
 

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