Birler matrisi

matematikte, bir birlerin matrisi veya tüm-birler matrisi bir matris'in burada her ögesi bir'e eşittir.[1] standard gösterimin örneği aşağıda veriliyor:

Bazı kaynaklar tüm-birler matrisini birim matris kodlar,[2] ama bu terim ayrıca eş matrise başvurabilir, bir fark matristir.

Özellikler

bir n×n birlerin matrisi J için, aşağıdaki özellikler uyar:

Kaynakça

  1. Horn, Roger A.; Johnson, Charles R. (2012), "0.2.8 The all-ones matrix and vector", Matrix Analysis, Cambridge University Press, ss. 8, ISBN 9780521839402, http://books.google.com/books?id=5I5AYeeh0JUC&pg=PA8.
  2. Eric W. Weisstein, Unit Matrix (MathWorld)
  3. Stanley, Richard P. (2013), Algebraic Combinatorics: Walks, Trees, Tableaux, and More, Springer, Lemma 1.4, p. 4, ISBN 9781461469988, http://books.google.com/books?id=_Tc_AAAAQBAJ&pg=PA4.
  4. Stanley (2013); Horn & Johnson (2012), p. 65.
  5. 1 2 Timm, Neil H. (2002), Applied Multivariate Analysis, Springer texts in statistics, Springer, ss. 30, ISBN 9780387227719, http://books.google.com/books?id=vtiyg6fnnskC&pg=PA30.
  6. Smith, Jonathan D. H. (2011), Introduction to Abstract Algebra, CRC Press, ss. 77, ISBN 9781420063721, http://books.google.com/books?id=PQUAQh04lrUC&pg=PA77.
  7. Godsil, Chris (1993), Algebraic Combinatorics, CRC Press, Lemma 4.1, p. 25, ISBN 9780412041310, http://books.google.com/books?id=eADtlNCkkIMC&pg=PA25.
This article is issued from Vikipedi - version of the 4/27/2014. The text is available under the Creative Commons Attribution/Share Alike but additional terms may apply for the media files.