Dr. Félix Almendra Arao

3.4 Aplicaciones de los Determinantes.

Regla de Cramer y Cálculo de Áreas.

C. L. Dodgson, Condensation of Determinants, Being a New and Brief Method for Computing their Arithmetical Values, Proceedings of the Royal Society of London, Vol. 15 (1866 - 1867), pp. 150-155www.jstor.org/stable/112607?seq=1#metadata_info_tab_contents

An Elementary Proof of Dodgson's Condensation Method for Calculating DeterminantsIn 1866, Charles Ludwidge Dodgson published a paper concerning a method for evaluating determinants called the condensation method. His paper documented a new method to calculate determinants that was based on Jacobi's Theorem. The condensation method is presented and proven here, and is demonstrated by a series of examples. The condensation method can be applied to a number of situations, including calculating eigenvalues, solving a system of linear equations, and even determining the different energy levels of a molecular system. The method is much more efficient than cofactor expansions, particularly for large matrices; for a 5 x 5 matrix, the condensation method requires about half as many calculations. Zeros appearing in the interior of a matrix can cause problems, but a way around the issue can usually be found. Overall, Dodgson's condensation method is an interesting and simple way to find determinants. This paper presents an elementary proof of Dodgson's method.

3.3 Un Método para Invertir Matrices

3.5 Ejercicios

Page updated

Google Sites

Report abuse