Author Topic: Problem 1  (Read 12045 times)

Fanxun Zeng

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Re: Problem 1
« Reply #15 on: December 20, 2012, 02:12:38 AM »
In addition to Part c solution I posted above, here is Problem 1 Part e Bonus solution to prove eigenvalues are simple.

Victor Ivrii

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Re: Problem 1
« Reply #16 on: December 20, 2012, 02:39:30 AM »
In each of three zones number of negative eigenvalues stays the same as they can cross to positives only on the borders. So in fact one can go along line $\alpha=\beta$ which intersects all of them. Then things are slightly simpler to analyze.