Timeline for sign-flipping inverse
Current License: CC BY-SA 3.0
4 events
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May 23, 2012 at 17:05 | comment | added | Robert Israel | They are also polynomials, so their signs may flip somewhere, just (under the assumption they're nonzero at $\lambda$) not at $\lambda$. In your example, the roots of entries of the adjugate are $16.9$, $30.9$, $5263/70$, and $28.9 \pm \sqrt{314}$, none of which happen to be between $0$ and $-0.1$. | |
May 23, 2012 at 10:23 | comment | added | Felix Goldberg | Robert, I am sure I am missing something: the determinant flips sign, but what about the minors in the adjugate? How do you how their signs behave? Thanks a million. | |
May 23, 2012 at 2:26 | history | edited | Robert Israel | CC BY-SA 3.0 |
added 12 characters in body
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May 22, 2012 at 17:07 | history | answered | Robert Israel | CC BY-SA 3.0 |