May someone clarify how did the author get the matrix $(37)$?
Doesn't $\mathbf {\mathit{A}e_i^*= \mathit{A}e_i \ (i=1, \dots, r)}$ which is unknown, so that the columns of $(37)$ should have been unknown?
2026-03-27 10:10:50.1774606250
The proof of "Two rectangular matrices of the same dimension are equivalent $\iff$ they have the same rank"
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