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leibniz_formula_for_determinants [2013/09/17 22:53] nikolaj old revision restored (2013/09/17 22:43) |
leibniz_formula_for_determinants [2013/09/17 23:22] nikolaj |
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- | ===== Leibniz_formula for determinants ===== | + | ===== Leibniz formula for determinants ===== |
==== Definition ==== | ==== Definition ==== | ||
| @#88DDEE: $n\in \mathbb N$ | | | @#88DDEE: $n\in \mathbb N$ | | ||
Line 9: | Line 9: | ||
==== Discussion ==== | ==== Discussion ==== | ||
This function concides with the implicitly defined determinant of [[Determinant]], if the matrices are taken to be linear operators in the usual way. | This function concides with the implicitly defined determinant of [[Determinant]], if the matrices are taken to be linear operators in the usual way. | ||
+ | === Reference === | ||
+ | Wikipedia: [[http://en.wikipedia.org/wiki/Leibniz_formula_for_determinants|Leibniz formula for determinants]] | ||
==== Parents ==== | ==== Parents ==== | ||
=== Requirements === | === Requirements === | ||
- | [[Matrix ring]] | + | [[Matrix ring]], |
- | === Requirements === | + | [[Determinant via multilinear functionals]], |
- | [[Determinant]], | + | |
[[Infinite series]] | [[Infinite series]] |