Some Properties of Some Special Matrices. Part II

• Autorzy: Xiaopeng Yue , Dahai Hu , Xiquan Liang
• Języki publikacji: EN

Abstrakty

EN

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

• Wydawca: De Gruyter Open
• Czasopismo: Formalized Mathematics
• Rocznik: 2006
• Tom: 14
• Numer: 1
• Strony: 7-12

Daty

wydano

2006-01-01

online

2008-06-13

Twórcy

autor

Xiaopeng Yue

• Qingdao University of Science and Technology, China

autor

Dahai Hu

• Qingdao University of Science and Technology, China

autor

Xiquan Liang

• Qingdao University of Science and Technology, China

Bibliografia

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

Identyfikatory

DOI

10.2478/v10037-006-0002-3