Have a personal or library account? Click to login
Invertibility of Matrices of Field Elements Cover

Invertibility of Matrices of Field Elements

Open Access
|Mar 2009

References

  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. Finite sequences and tuples of elements of a non-empty sets. Formalized Mathematics, 1(3):529-536, 1990.
  3. [3] Czesław Byliński. Functions and their basic properties. Formalized Mathematics, 1(1):55-65, 1990.
  4. [4] Czesław Byliński. Partial functions. Formalized Mathematics, 1(2):357-367, 1990.
  5. [5] Shigeru Furuya. Matrix and Determinant. Baifuukan (in Japanese), 1957.
  6. [6] Felix R. Gantmacher. The Theory of Matrices. AMS Chelsea Publishing, 1959.
  7. [7] Katarzyna Jankowska. Matrices. Abelian group of matrices. Formalized Mathematics, 2(4):475-480, 1991.
  8. [8] Eugeniusz Kusak, Wojciech Leończuk, and Michał Muzalewski. Abelian groups, fields and vector spaces. Formalized Mathematics, 1(2):335-342, 1990.
  9. [9] Takaya Nishiyama and Yasuho Mizuhara. Binary arithmetics. Formalized Mathematics, 4(1):83-86, 1993.
  10. [10] Andrzej Trybulec. Binary operations applied to functions. Formalized Mathematics, 1(2):329-334, 1990.
  11. [11] Wojciech A. Trybulec. Binary operations on finite sequences. Formalized Mathematics, 1(5):979-981, 1990.
  12. [12] Wojciech A. Trybulec. Groups. Formalized Mathematics, 1(5):821-827, 1990.
  13. [13] Wojciech A. Trybulec. Vectors in real linear space. Formalized Mathematics, 1(2):291-296, 1990.
  14. [14] Zinaida Trybulec. Properties of subsets. Formalized Mathematics, 1(1):67-71, 1990.
  15. [15] Hiroshi Yamazaki, Yoshinori Fujisawa, and Yatsuka Nakamura. On replace function and swap function for finite sequences. Formalized Mathematics, 9(3):471-474, 2001.
  16. [16] Xiaopeng Yue, Xiquan Liang, and Zhongpin Sun. Some properties of some special matrices. Formalized Mathematics, 13(4):541-547, 2005.
  17. [17] Katarzyna Zawadzka. The sum and product of finite sequences of elements of a field. Formalized Mathematics, 3(2):205-211, 1992.
  18. [18] Katarzyna Zawadzka. The product and the determinant of matrices with entries in a field. Formalized Mathematics, 4(1):1-8, 1993.
DOI: https://doi.org/10.2478/v10037-008-0025-z | Journal eISSN: 1898-9934 | Journal ISSN: 1426-2630
Language: English
Page range: 195 - 202
Published on: Mar 20, 2009
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year

© 2009 Yatsuka Nakamura, Kunio Oniumi, Wenpai Chang, published by University of Białystok
This work is licensed under the Creative Commons License.

Volume 16 (2008): Issue 2 (June 2008)