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Results tagged with determinants
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user 484
Questions about the determinant of square matrices or linear endomorphisms. Also for closely related topics such as minors or regularized determinants.
2
votes
Extremal properties of the determinant for matrices with entries in a fixed subset of $[-1,1...
Imposing equality of these determinants, and maximizing their magnitude, yields the precise values above. (They are some messy algebraic numbers.) …
- 2,150
4
votes
Number of unique determinants for an NxN (0,1)-matrix
If $D_n$ denotes the set of positive $n\times n$ determinants, and if the above ideas are on the right track, then it seems likely that asymptotically $g_n/|D_n|$ is 1. …
- 2,150
9
votes
Maximum determinant of $\{0,1\}$-valued $n\times n$-matrices
As pointed out in Robin Chapman's answer and Frederio Poloni's comment thereto, there is a one-to-one map between normalized $n$-by-$n$ $(-1,1)$ matrices and $(n-1)$-by-$(n-1)$ $(0,1)$ matrices under …
- 2,150