More on evaluating determinants
A. R. Moghaddamfar, S. M. H. Pooya, S. Navid Salehy, S. Nima Salehy (2012)
Matematički Vesnik
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A. R. Moghaddamfar, S. M. H. Pooya, S. Navid Salehy, S. Nima Salehy (2012)
Matematički Vesnik
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Kramer, Joshua Brown (2010)
The Electronic Journal of Combinatorics [electronic only]
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Krzysztof Moszyński (1995)
Applicationes Mathematicae
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Neuwirth, Erich (2002)
Séminaire Lotharingien de Combinatoire [electronic only]
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Víctor Álvarez, José Andrés Armario, María Dolores Frau, Félix Gudiel (2015)
Open Mathematics
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An n by n skew-symmetric type (-1; 1)-matrix K =[ki;j ] has 1’s on the main diagonal and ±1’s elsewhere with ki;j =-kj;i . The largest possible determinant of such a matrix K is an interesting problem. The literature is extensive for n ≡ 0 mod 4 (skew-Hadamard matrices), but for n ≡ 2 mod 4 there are few results known for this question. In this paper we approach this problem constructing cocyclic matrices over the dihedral group of 2t elements, for t odd, which are equivalent to (-1;...
M. O. Omeike, A. U. Afuwape (2010)
Kragujevac Journal of Mathematics
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Lomidze, I. (1994)
Georgian Mathematical Journal
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Bajalinov, E., Rácz, A. (2009)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Peradze, J. (2007)
Bulletin of TICMI
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Enrique Navarro, Rafael Company, Lucas Jódar (1993)
Applicationes Mathematicae
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In this paper we consider Bessel equations of the type , where A is an nn complex matrix and X(t) is an nm matrix for t > 0. Following the ideas of the scalar case we introduce the concept of a fundamental set of solutions for the above equation expressed in terms of the data dimension. This concept allows us to give an explicit closed form solution of initial and two-point boundary value problems related to the Bessel equation.
Karol Pąk (2008)
Formalized Mathematics
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In this paper I present the Kronecker-Capelli theorem which states that a system of linear equations has a solution if and only if the rank of its coefficient matrix is equal to the rank of its augmented matrix.MML identifier: MATRIX15, version: 7.8.09 4.97.1001