Timeline for Determinant of block tridiagonal matrices
Current License: CC BY-SA 4.0
11 events
| when toggle format | what | by | license | comment | |
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| Feb 24, 2023 at 17:10 | comment | added | Jianing Song | More difficult it seems is to find the rank of $A$ in $\mathbb{F}_2$, which is the $\log_2$ of the number of states that can be reached | |
| Feb 24, 2023 at 16:44 | comment | added | Jianing Song | Yes, for the "Lights Out" problem, one has to determine when $\det(A)$ is even. To determine when $\det(A)=0$ looks ok, but to find the parity of a product of cosines is a disaster. | |
| Jul 22, 2020 at 18:50 | history | edited | Rodrigo de Azevedo | CC BY-SA 4.0 |
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| Apr 13, 2017 at 12:19 | history | edited | CommunityBot |
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| Aug 4, 2015 at 9:00 | vote | accept | Martin | ||
| Aug 2, 2015 at 17:32 | comment | added | Federico Poloni | For the determinant it is probably the same. Determining rank and eigenvalues might require a bit more of algebraic machinery, though (nothing too fancy, extensions of finite fields). | |
| Aug 2, 2015 at 16:45 | comment | added | Martin | @FedericoPoloni: Yes, this is true when considering the original version of Lights Out. But when considering variants (e.g. more colors), then one needs the determinant over other finite fields, therefore I am interested in the determinant in $\mathbb{R}$. Do you think it would be easier to get the determinant over $\mathbb{F}_2$? | |
| Jul 31, 2015 at 10:04 | comment | added | Federico Poloni | If you are studying Lights Out, as you mentioned in the linked MSE thread, probably you should be interested in the determinant in $\mathbb{F}_2$, not in $\mathbb{R}$. | |
| Jun 30, 2015 at 16:37 | answer | added | James | timeline score: 5 | |
| Jun 30, 2015 at 13:08 | answer | added | Denis Serre | timeline score: 10 | |
| Jun 30, 2015 at 10:50 | history | asked | Martin | CC BY-SA 3.0 |