On the ranks of idempotent matrices over skew semifields
✍ Scribed by S. N. Il’in
- Book ID
- 114988229
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 2012
- Tongue
- English
- Weight
- 561 KB
- Volume
- 91
- Category
- Article
- ISSN
- 0001-4346
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Let T be a skew-symmetric Toeplitz matrix with entries in a ®nite ®eld. For all positive integers n let n be the upper n  n corner of T, with nullity m n m n . The sequence fm n X n P Ng satis®es a unimodality property and is eventually periodic if the entries of T satisfy a periodicity condition.
Baksalary and Baksalary [J.K. Baksalary, O.M. Baksalary, Nonsingularity of linear combinations of idempotent matrices, Linear Algebra Appl. 388 (2004) 25-29] proved that the nonsingularity of P 1 + P 2 , where P 1 and P 2 are idempotent matrices, is equivalent to the nonsingularity of any linear com