Timeline for Why were matrix determinants once such a big deal?
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| Jun 5, 2017 at 22:12 | comment | added | LSpice | It is interesting that the 'right' explanation for open-ness depends on of what you think of finite-dimensional real $\mathrm{GL}(n)$ as a special case. If you think of it as a special case of an algebraic group, then the determinant is the way to see that it is (even Zariski) open. If you think of it as a special case of linear operators on a Banach space, then it is easier to find an explicit formula for the inverse of a small perturbation of an invertible transformation. | |
| Dec 23, 2010 at 16:46 | history | answered | Jose Brox | CC BY-SA 2.5 |