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comment What is the importance of eigenvalues/eigenvectors?
For someone just beginning linear algebra, this doesn't really make sense or motivate eigenvectors. For example, it could make the student naively ask, "why does the basis matter at all? a rotation by 90 degrees is the same rotation no matter what basis I use to look at it; it's never going to become a scaling in any basis..." and then you have a lot more explanation to do. It would be nice to be able to address this without assuming they already know a lot of linear algebra.
Apr
23
revised Is there a meaningful distinction between “direct” and “iterative” methods for solving equations?
added 137 characters in body
Apr
23
asked Is there a meaningful distinction between “direct” and “iterative” methods for solving equations?
Apr
23
awarded  Notable Question
Apr
20
accepted How to upper-bound the smallest positive root of a polynomial?
Apr
20
answered How to upper-bound the smallest positive root of a polynomial?
Apr
17
revised Is this matrix diagonalizable? Wolfram Alpha seems to contradict itself…
edited title
Apr
10
comment Optimal voting algorithm for two-person position
@Qudit: I'm not sure what kinds of assumptions I should make and what is reasonable, so feel free to give an answer based on whatever you consider a reasonable assumption...
Apr
10
asked Optimal voting algorithm for two-person position
Apr
8
comment Example of a Markov chain transition matrix that is not diagonalizable?
@user1551: By $M$ you mean $J$?
Apr
3
awarded  Good Answer
Apr
2
awarded  Tumbleweed
Apr
1
comment Fastest way to meet, without communication, on a sphere?
Would it make any difference if you could send each other 1 message simultaneously?
Mar
31
comment How to upper-bound the smallest positive root of a polynomial?
Whoops, I read your comment too quickly, sorry. I'll take a look at that, thanks!
Mar
31
comment How to upper-bound the smallest positive root of a polynomial?
@hardmath: Note that I don't want the smallest root, but the smallest positive root. And no, there's no exact arithmetic, it's all floating-point -- I'm looking for an algorithm, i.e. something I can reasonably implement on a computer. That said, the polynomials won't be crazy, so I don't expect I'll need to worry about rounding errors.
Mar
31
revised How to upper-bound the smallest positive root of a polynomial?
added 79 characters in body
Mar
31
comment How to upper-bound the smallest positive root of a polynomial?
Thanks for the pointers! @hardmath: good point... I meant a bound that's below the next root.
Mar
31
asked How to upper-bound the smallest positive root of a polynomial?
Mar
29
comment Sum of all integers
I agree with Neil, the only sensible sum is zero for the same reason he mentioned.
Mar
26
asked How to solve for the prior probability distribution in this integral equation?