Timeline for What are the components of a transpose operator from $\mathbb R^{n\times n}$ to $\mathbb R^{n\times n}$?
Current License: CC BY-SA 2.5
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 19, 2018 at 23:34 | comment | added | Federico Poloni | Also known as perfect shuffle or commutation matrix | |
| Dec 1, 2009 at 13:55 | vote | accept | Rhys Ulerich | ||
| Nov 5, 2009 at 17:29 | comment | added | Dan Piponi | It's an inner product, but contracting over two indices. So if you write the transpose matrix as T_{ijkl} and b is the transpose of a, then b_{ij} = T_{ijkl}a_{kl} where T is as I describe. | |
| Nov 5, 2009 at 16:56 | comment | added | Rhys Ulerich | What you describe looks like a 2x2x2x2 tensor. What's the way to talk about applying this 2x2x2x2 object to the 2x2 matrix? Neither a simple inner or outer product gives the right resulting 2x2 dimension for the transpose. | |
| Nov 4, 2009 at 23:46 | vote | accept | Rhys Ulerich | ||
| Nov 5, 2009 at 16:57 | |||||
| Nov 4, 2009 at 23:41 | history | answered | Dan Piponi | CC BY-SA 2.5 |