Some Basic Properties of Some Special Matrices. Part III

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Some Basic Properties of Some Special Matrices. Part III

This article describes definitions of subsymmetric matrix, anti-subsymmetric matrix, central symmetric matrix, symmetry circulant matrix and their basic properties.

Grzegorz Bancerek and Krzysztof Hryniewiecki. Segments of natural numbers and finite sequences. Formalized Mathematics, 1(1):107-114, 1990.

Czesław Byliński. Binary operations. Formalized Mathematics, 1(1):175-180, 1990.

Czesław Byliński. Finite sequences and tuples of elements of a non-empty sets. Formalized Mathematics, 1(3):529-536, 1990.

Czesław Byliński. Functions and their basic properties. Formalized Mathematics, 1(1):55-65, 1990.

Czesław Byliński. Partial functions. Formalized Mathematics, 1(2):357-367, 1990.

Czesław Byliński. Some basic properties of sets. Formalized Mathematics, 1(1):47-53, 1990.

Katarzyna Jankowska. Matrices. Abelian group of matrices. Formalized Mathematics, 2(4):475-480, 1991.

Katarzyna Jankowska. Transpose matrices and groups of permutations. Formalized Mathematics, 2(5):711-717, 1991.

Eugeniusz Kusak, Wojciech Leończuk, and Michał Muzalewski. Abelian groups, fields and vector spaces. Formalized Mathematics, 1(2):335-342, 1990.

Karol Pąk. Basic properties of the rank of matrices over a field. Formalized Mathematics, 15(4):199-211, 2007, doi:10.2478/v10037-007-0024-5.

Andrzej Trybulec. Binary operations applied to functions. Formalized Mathematics, 1(2):329-334, 1990.

Michał J. Trybulec. Integers. Formalized Mathematics, 1(3):501-505, 1990.

Wojciech A. Trybulec. Groups. Formalized Mathematics, 1(5):821-827, 1990.

Zinaida Trybulec. Properties of subsets. Formalized Mathematics, 1(1):67-71, 1990.

Edmund Woronowicz. Relations and their basic properties. Formalized Mathematics, 1(1):73-83, 1990.

Xiaopeng Yue, Xiquan Liang, and Zhongpin Sun. Some properties of some special matrices. Formalized Mathematics, 13(4):541-547, 2005.

Katarzyna Zawadzka. The sum and product of finite sequences of elements of a field. Formalized Mathematics, 3(2):205-211, 1992.

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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researchers in the fields of formal methods and computer-checked mathematics

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