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Results tagged with matrices
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user 3206
Questions where the notion matrix has an important or crucial role (for the latter, note the tag matrix-theory for potential use). Matrices appear in various parts of mathematics, and this tag is typically combined with other tags to make the general subject clear, such as an appropriate top-level tag ra.rings-and-algebras, co.combinatorics, etc. and other tags that might be applicable. There are also several more specialized tags concerning matrices.
2
votes
Enumeration of $0-1$ matrices with determinant $1$
The number of matrices with odd determinant is known: it is $$\prod_{i=0}^{n-1}(2^n - 2^i)$$, which is about $0.3 * 2^{n^2}$. … From the arxiv paper of Zivkovic in a comment above, one has for matrices with absolute determinant value 1 : n=6, 18480102480; n=7,135491563468800; n=8, 3766962568171582080 . …
- 3,209
4
votes
Accepted
Number of unique determinants for an NxN (0,1)-matrix
I have a proof that the number of determinants is greater than 4 times the nth Fibonacci number for (n+1)x(n+1) (0,1) matrices, and I conjecture that for large n the number of distinct determinants approaches …
- 3,209