Tight infinite matrices
| Autor: | Aharoni, Ron, Guo, He |
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| Rok vydání: | 2023 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | We give a simple proof of a recent result of Gollin and Jo\'o: if a possibly infinite system of homogeneous linear equations $A\vec{x} = \vec{0}$, where $A = (a_{i, j})$ is an $I \times J$ matrix, has only the trivial solution, then there exists an injection $\phi: J \to I$, such that $a_{\phi(j), j} \neq 0$ for all $j \in J$. Comment: 7 pages |
| Databáze: | arXiv |
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