Timeline for Searching for matrices with some property
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 2, 2018 at 15:34 | vote | accept | CommunityBot | ||
| May 2, 2018 at 15:30 | comment | added | Federico Poloni | @stackExchangeUser Not easy for me to parse the definition (and not entirely in my field), but it looks like it's got something to do with the factorization of $t^d-1$, which I thought was completely determined using the theory of cyclotomic polynomials. | |
| May 2, 2018 at 15:19 | comment | added | user6671 | If this is not too much to ask: Do you know if the conjecture might be true? | |
| May 2, 2018 at 15:18 | comment | added | Federico Poloni | It's not difficult to modify it to have trace 1. For instance, $J_{n-1} \oplus [1] \oplus O_n$ (subscripts denote size), and then change a suitable number of zeros to ones in the upper triangular part of $J$ to fix the norm. Minimal polynomial $z^{n-1}(z-1)$, characteristic polynomial $z^{2n-1}(z-1)$. | |
| May 2, 2018 at 15:16 | comment | added | user6671 | Do you know an example with trace = 1? Since in the examples I am considering we have trace =1. | |
| May 2, 2018 at 15:15 | comment | added | Federico Poloni | All diagonal elements of this matrix are $0$. | |
| May 2, 2018 at 15:15 | comment | added | user6671 | What is the trace of this matrix? Does it equal 1? | |
| May 2, 2018 at 15:11 | history | answered | Federico Poloni | CC BY-SA 4.0 |