Talk:Comma basis: Difference between revisions
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Created page with "== left/right kernel == Technically there are two kernels, the left and right ones. To get the comma basis from a map you get the right kernel. To get the map from a comma bas..." |
Cmloegcmluin (talk | contribs) |
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- [[User:Sintel|Sintel]] ([[User talk:Sintel|talk]]) 21:09, 30 December 2021 (UTC) | - [[User:Sintel|Sintel]] ([[User talk:Sintel|talk]]) 21:09, 30 December 2021 (UTC) | ||
: That's a good clarification. If you'd like to modify the article to better convey this, please feel free. --[[User:Cmloegcmluin|Cmloegcmluin]] ([[User talk:Cmloegcmluin|talk]]) 04:44, 31 December 2021 (UTC) | |||
Revision as of 04:44, 31 December 2021
left/right kernel
Technically there are two kernels, the left and right ones. To get the comma basis from a map you get the right kernel. To get the map from a comma basis you use the left one. They are related by the transpose (i.e. right kernel of A^T is left kernel of A). No need for anti-transposes. I understand you take the anti-transpose to get the commas in a nicer form, but this depends on the algorithm used for calculating the kernel and is not necessary.
- Sintel (talk) 21:09, 30 December 2021 (UTC)
- That's a good clarification. If you'd like to modify the article to better convey this, please feel free. --Cmloegcmluin (talk) 04:44, 31 December 2021 (UTC)