Timeline for How many real square roots can a real invertible matrix have?
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 26, 2022 at 21:04 | vote | accept | Andrew | ||
| Nov 26, 2022 at 19:20 | comment | added | Andrew | Jason DeVito Thanks, you really helped me out | |
| Nov 26, 2022 at 19:19 | comment | added | Jason DeVito - on hiatus | @Andrew: The matrix $-B$ of my answer works for $odd\times odd$. | |
| Nov 26, 2022 at 18:15 | comment | added | Jason DeVito - on hiatus | My guess is that by playing around with various Jordan blocks, you can find examples of $n\times n$ matrices having precisely $2k$ square roots for any given $k\leq n$. I didn't think too deeply about this, though. | |
| Nov 26, 2022 at 18:14 | history | answered | Jason DeVito - on hiatus | CC BY-SA 4.0 |