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    $\begingroup$ I don't quite understand this question—for example, is it a question about a particular matrix $A$, or about any matrix?—but this seems to be an elementary probability question, not a research-level question, and so does not belong on MO. If you want to clarify it for MO, or ask it again on MSE, I encourage you to TeX it so that it will be easier to read. $\endgroup$ Commented May 10, 2020 at 0:43
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    $\begingroup$ Welcome to MO. It's good to have an example, but eventually the question is really unclear. It might be that the question would eventually fit MO, but I currently can't quite follow. Use crisper definitions and state a more precise question. $\endgroup$ Commented May 10, 2020 at 0:46
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    $\begingroup$ Thank you @LSpice for your comments and suggestions. I rephrased the problem, detailed it better, and used LaTex. I don't know if it fits better here or on MSE. $\endgroup$ Commented May 10, 2020 at 2:10
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    $\begingroup$ Thank you @AmirSagiv. I tried to explain better the problem. Please help me to define if it fits better here or on MSE. $\endgroup$ Commented May 10, 2020 at 2:11
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    $\begingroup$ It seems to me that it would be clearer to phrase this without the matrix. $\endgroup$ Commented May 10, 2020 at 14:57