How can I get A knowing Ap and p?

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Yaseen Abdel Moneim Sabry El-Zawahry
编辑： John D'Errico 2018-11-24
For an n*n symbolic matrix A and an n*1 symbolic vector p, if I know the value of p and Ap, how can I find A?

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John D'Errico
John D'Errico 2018-11-24
编辑：John D'Errico 2018-11-24
No. There is insufficient information. You can view this as knowing n pieces of information, but needing to output n^2 pieces of information. (Since the nxn matrix A has n^2 elements.) So there are infinitely many possible matrices A that would generate the given result, and you cannot resolve which of those infintely many possible solutions actually form the real matrix A.

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