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Results tagged with determinants
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user 48831
Questions about the determinant of square matrices or linear endomorphisms. Also for closely related topics such as minors or regularized determinants.
3
votes
1
answer
378
views
Determinant of an "almost cyclic" matrix
Motivation: this (and related) determinants appear in a combinatorial problem arising in homological algebra, see Classification of algebras of finite global dimension via determinants of certain 0-1-matrices …
- 3,255
2
votes
Classification of algebras of finite global dimension via determinants of certain 0-1-matrices
The determinants may therefore have appeared elsewhere. …
- 3,255
6
votes
Expected determinant of random symmetric matrix with different Gaussian distributions of the...
Here is a another approach.
For convenience I write $n$ instead of $N$, and $A_n$ for $A$.
By definition
$$\det(A_n) = \sum_{\pi\in S_n} \operatorname{sign}(\pi) \prod_{i=1}^n a_{i,\pi(i)}$$
By …
- 3,255