Timeline for Uniqueness of Eigenspaces
Current License: CC BY-SA 4.0
9 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 11, 2018 at 20:26 | comment | added | N8tron | @ZacharyCarter The only space that has a unique basis is the trivial space. That is the space that consists of the zero vector. The basis of this space is the empty set. | |
| May 11, 2018 at 20:25 | answer | added | giobrach | timeline score: 2 | |
| May 11, 2018 at 20:23 | comment | added | Zach | Is the ability of an eigenspace to be unique but capable of changing bases dependent on the non-uniqueness of the eigenvectors which generate the eigenspace? | |
| May 11, 2018 at 20:23 | comment | added | N8tron | @ArnaudMortier Wow we answered very similarly giving you a +1 :) | |
| May 11, 2018 at 20:20 | answer | added | N8tron | timeline score: 1 | |
| May 11, 2018 at 20:20 | comment | added | paf | Moreover, be careful to distinguish the notations for the set $\{-1,0,1\}$ and for the vector $(-1,0,1)$. | |
| May 11, 2018 at 20:19 | history | edited | paf | CC BY-SA 4.0 | added 11 characters in body |
| May 11, 2018 at 20:17 | comment | added | Arnaud Mortier | The eigenspace is unique, but it has (just like any non-trivial linear space) several bases. Note that for the eigenvalue $2$ you also have some freedom: any $(x,0,x)$ with non-zero $x$ would do. | |
| May 11, 2018 at 20:14 | history | asked | Zach | CC BY-SA 4.0 |