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Results tagged with determinants
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user 113506
Questions about the determinant of square matrices or linear endomorphisms. Also for closely related topics such as minors or regularized determinants.
3
votes
Computing determinants of matrices of linear forms
^{-2 \pi i \left(\frac{jp}{n + 1} + \frac{kq}{n - j + 1} \right)} \det(e^{\frac{2 \pi i p}{n + 1}} A + e^{\frac{2 \pi i q}{n - j + 1}} B + C)
\end{equation}
requiring the evaluation of only $O(n^4)$ determinants …
- 651
6
votes
Accepted
Generalized Cauchy-Binet sum over a fixed subset of indices
This is probably a bit late, but the following formula is proved in this paper (Eq. S4 in the Supplementary Material):
\begin{equation}
\sum_{S \in \binom{[n - j]}{m - j}} \det(A_{[m], S \cup T}) \de …
- 651