The theory of Determinants, Matrices and Invariants
โ Scribed by Rella
- Publisher
- Springer Vienna
- Year
- 1930
- Tongue
- English
- Weight
- 95 KB
- Volume
- 37
- Category
- Article
- ISSN
- 0026-9255
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๐ SIMILAR VOLUMES
An n by n conference type matrix has O's on the main diagonal and +1's elsewhere. We investigate the largest possible determinant of such a matrix. The literature is extensive for n even, but for n odd the question has not been previously studied. We determine the maxima up to n = 11: for n = 3, 5,
We prove a result concerning the evaluation of determinant of a matrix, whose entries are given by certain linear inhomogeneous recurrence relations. This result generalizes previous determinants evaluations due to Krattenthaler, Neuwirth and the authors in [C. Krattenthaler, Evaluations of some det