Some Properties of Some Special Matrices. Part II

Xiaopeng Yue; Dahai Hu; Xiquan Liang

Formalized Mathematics (2006)

  • Volume: 14, Issue: 1, page 7-12
  • ISSN: 1426-2630

Abstract

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This article provides definitions of idempotent, nilpotent, involutory, self-reversible, similar, and congruent matrices, the trace of a matrix and their main properties.

How to cite

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Xiaopeng Yue, Dahai Hu, and Xiquan Liang. "Some Properties of Some Special Matrices. Part II." Formalized Mathematics 14.1 (2006): 7-12. <http://eudml.org/doc/267092>.

@article{XiaopengYue2006,
abstract = {This article provides definitions of idempotent, nilpotent, involutory, self-reversible, similar, and congruent matrices, the trace of a matrix and their main properties.},
author = {Xiaopeng Yue, Dahai Hu, Xiquan Liang},
journal = {Formalized Mathematics},
language = {eng},
number = {1},
pages = {7-12},
title = {Some Properties of Some Special Matrices. Part II},
url = {http://eudml.org/doc/267092},
volume = {14},
year = {2006},
}

TY - JOUR
AU - Xiaopeng Yue
AU - Dahai Hu
AU - Xiquan Liang
TI - Some Properties of Some Special Matrices. Part II
JO - Formalized Mathematics
PY - 2006
VL - 14
IS - 1
SP - 7
EP - 12
AB - This article provides definitions of idempotent, nilpotent, involutory, self-reversible, similar, and congruent matrices, the trace of a matrix and their main properties.
LA - eng
UR - http://eudml.org/doc/267092
ER -

References

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  1. [1] Grzegorz Bancerek and Krzysztof Hryniewiecki. Segments of natural numbers and finite sequences. Formalized Mathematics, 1(1):107-114, 1990. 
  2. [2] Czesław Byliński. Functions and their basic properties. Formalized Mathematics, 1(1):55-65, 1990. 
  3. [3] Czesław Byliński. Some basic properties of sets. Formalized Mathematics, 1(1):47-53, 1990. 
  4. [4] Katarzyna Jankowska. Matrices. Abelian group of matrices. Formalized Mathematics, 2(4):475-480, 1991. Zbl0751.54016
  5. [5] Katarzyna Jankowska. Transpose matrices and groups of permutations. Formalized Mathematics, 2(5):711-717, 1991. 
  6. [6] Eugeniusz Kusak, Wojciech Leończuk, and Michał Muzalewski. Abelian groups, fields and vector spaces. Formalized Mathematics, 1(2):335-342, 1990. 
  7. [7] Andrzej Trybulec. Tarski Grothendieck set theory. Formalized Mathematics, 1(1):9-11, 1990. 
  8. [8] Wojciech A. Trybulec. Groups. Formalized Mathematics, 1(5):821-827, 1990. 
  9. [9] Wojciech A. Trybulec. Vectors in real linear space. Formalized Mathematics, 1(2):291-296, 1990. 
  10. [10] Xiaopeng Yue, Xiquan Liang, and Zhongpin Sun. Some properties of some special matrices. Formalized Mathematics, 13(4):541-547, 2005. 
  11. [11] Katarzyna Zawadzka. The product and the determinant of matrices with entries in a field. Formalized Mathematics, 4(1):1-8, 1993. 

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