Timeline for Checking a generating set of $\mathbb{Z}^k$
Current License: CC BY-SA 3.0
8 events
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Oct 10, 2017 at 0:26 | history | edited | user6976 | CC BY-SA 3.0 |
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Oct 9, 2017 at 23:07 | history | edited | user6976 | CC BY-SA 3.0 |
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Oct 9, 2017 at 21:10 | comment | added | user6976 | @EmilJeřábek: OK. You are right. $A^T A$ does not help. The other method (first reduce A to reduced column-echelon form, then look at submatrices of rank $n$) is also more complicated than I thought: too many matrices to consider. So I left only the case $k=n$. | |
Oct 9, 2017 at 21:06 | history | edited | user6976 | CC BY-SA 3.0 |
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Oct 9, 2017 at 20:48 | comment | added | Emil Jeřábek | What about e.g. $A=\binom23$? | |
Oct 9, 2017 at 20:47 | history | edited | user6976 | CC BY-SA 3.0 |
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Oct 9, 2017 at 17:15 | comment | added | Derek Holt | But that only works for square matrices. | |
Oct 9, 2017 at 17:02 | history | answered | user6976 | CC BY-SA 3.0 |