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Is there a reference out there that only focus on (different)rank of matrices(with all kind of entries: real, complex, integers) and connects then further to ranks of tensors and further with the ranks multi-linear operators.

Thank you in advance.

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    $\begingroup$ Can you say a bit more about what it is you want to learn about? You can obtain the rank of a matrix by putting it into a standard form like reduced row echelon form. You can also study the space of matrices of a given rank $r$, by using determinants of minors, by the action the groups of change-of-basis matrices etc.. What do you want to use ranks to study for example? $\endgroup$
    – krm2233
    Jul 24, 2023 at 21:09

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