This paper compares the asymptotic behavior of certain probabilities for n x n upper triangular matrices over IFq to the asymptotic behavior of the corresponding probabilities for arbitrary n x n matrices over iF, r Specifically, the asymptotic behavior of probabilities for a given rank, for a given
Some enumeration problems for matrices over a finite field
โ Scribed by Amos Kovacs
- Book ID
- 107825159
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 585 KB
- Volume
- 94
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
A necessary and su$cient condition for an m;n matrix A over F O having a Moor}Penrose generalized inverse (M}P inverse for short) was given in (C. K. Wu and E. Dawson, 1998, Finite Fields Appl. 4, 307}315). In the present paper further necessary and su$cient conditions are obtained, which make clear
For a given m X n matrix A of rank I ov+r a finite field F, the number of generalized invers:s, of reflexive generalized inverses, of normalized generalized inverses, and of pseudoinverses of A are derermined by elementary methods. The more dticult problem of determining which m X n matrices A of ra