Timeline for Identities for the determinant of a matrix similar to $\det(A)=\exp\circ\operatorname{tr}\circ\log(A)$ for different matrix functionals
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
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| Jul 18, 2022 at 18:07 | comment | added | Hvjurthuk | @LSpice An analytic map $f\colon\mathbb{C}\to\mathbb{C}$ can be extended through its Taylor expansion to a map $f\colon\mathcal{M}_{n}(\mathbb{C})\to\mathcal{M}_{n}(\mathbb{C})$ for any $n$. So I mean that this extension and the map $h\colon\mathcal{M}_{m}(\mathbb{C})\to\mathcal{M}_{m}(\mathbb{C})$ are inverse maps. But I also accept answers that do not verify this or that do not come from extensions of analytic functions to matrices since the main thing is the condition for $g$. | |
| S Jul 18, 2022 at 18:02 | history | suggested | Samuel Adrian Antz | CC BY-SA 4.0 |
Fixed missing r in \operatorname in title.
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| Jul 18, 2022 at 17:43 | review | Suggested edits | |||
| S Jul 18, 2022 at 18:02 | |||||
| Jul 18, 2022 at 17:43 | comment | added | LSpice | What does "the matrix extension of the map $f$ and the map $h$" mean? | |
| Jul 18, 2022 at 17:42 | history | edited | LSpice | CC BY-SA 4.0 |
Undefined macro in title
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| Jul 18, 2022 at 17:37 | history | asked | Hvjurthuk | CC BY-SA 4.0 |