Timeline for Is the linear span of special orthogonal matrices equal to the whole space of $N\times N$ matrices?
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 16, 2018 at 13:13 | comment | added | BS. | On the other hand, I think that the site math.stackexchange was more appropriate for this question. See mathoverflow.net/tour and the closely related question math.stackexchange.com/a/2301105/25917 | |
| Sep 13, 2018 at 7:02 | comment | added | Andrea | This is surely a valid proof, but it’s clear from the phrasing of the question that OP does not have the background to follow it. You could consider (at the very least) stating the theorems you use in the various steps. Then possibly recommend to OP a source? | |
| Sep 11, 2018 at 10:32 | comment | added | Adam | Fair enough. Unfortunately, I don't really understand the proof (e.g. why do you use this action O(n)xO(n) ? Why is it sufficient that it is irreducible ?) Is there a more pedestrian way (maybe in the spirit of what I wrote in my question) to do this ? It might help my physicist's mind to understand... :) | |
| Sep 11, 2018 at 9:58 | comment | added | Robert Bryant | I just did that. You asked for the span of the matrices in $\mathrm{SO}(n)$, in particular, that includes all multiples of any element of $\mathrm{SO}(n)$, so there will be elements of the span with arbitrarily large absolute values. | |
| Sep 11, 2018 at 9:56 | history | edited | Robert Bryant | CC BY-SA 4.0 |
added 1008 characters in body
|
| Sep 11, 2018 at 9:54 | comment | added | Adam | Could you please expand the answer and/or give a reference ? For example, it cannot be the full space, since each matrix element is between -1 and 1. | |
| Sep 11, 2018 at 9:42 | history | answered | Robert Bryant | CC BY-SA 4.0 |