Método para resolver una matriz cuadrada mediante la descomposición y reducción de orden
DOI:
https://doi.org/10.29105/ingenierias23.87-4Keywords:
Determinants, decompositionº, and order reduction, square matrixAbstract
This paper shows a method to calculate m x n ≥ 3 matrices to obtain determinants. The method shown reduces the size of the matrix until obtaining a 1 x 1 element, with the appropriate operations, obtains the determinant. The method has an approximation to the condensation method developed by Dodgson in 1866, however, the respective development of the system is different. In this paper, the method is structured and developed step by step until the determinant is obtained.
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References
Medel – Juarez, J. J. y García – Mendoza, C.V. (2016). Historia del determinante. Ciencia. 67 (1), 60 – 67.
Ufuoma, O. (2013). A New and Simple Method of Solving Large Linear Systems: Based on Cramer’s Rule but Employing Dodgson’s Condensation. In Proc. World Congr. Eng. Comput. Sci. (Vol. 1).
Rosales,A.(2008).Evoluciónhistóricadelconceptodematriz.RevistaDigital Matemática, 9(1), 1-20.
Dodgson, C. L. (1866). Condensation of determinants, being a new and brief method for computing their arithmetical values. Proceedings of the Royal Society of London, (15), 150-155.
