Definition talk:Null Space
Jump to navigation Jump to search
So you call it nullspace on the page, and null space in the title; which one do you want (possibly both)? Also, check out Definition:Kernel (Abstract Algebra) (which isn't finished atm). --Lord_Farin 16:43, 16 March 2012 (EDT)
- oh, uh, didn't notice that. It seems both are correct, I'll fix it. Also, we didn't get up to kernels yet in class, but that's interesting. --GFauxPas 16:47, 16 March 2012 (EDT)
- Also, I think it's good to somehow emphasize that $\mathbf 0$ has $m$ components, rather than the implied $n$. --Lord_Farin 18:10, 16 March 2012 (EDT)
In the exposition, it is taken that $\mathbf x \in \R^n$.
But this results applies not only to the domain of real numbers. Perhaps it ought to be emphasised that the domain can be any field (e.g. complex numbers, important for these results in various physics applications, e.g. quantum mechanics).
But then we're back to our old problem of specifying a result for "just reals" for those who haven't met complex numbers again. --prime mover 05:05, 29 March 2012 (EDT)
- What about something like what I've been doing e.g. Definition:Linearly Independent here? But I'm one of those people you're concerned about, so I don't think I should be the one to generalize it. --GFauxPas 08:58, 29 March 2012 (EDT)