Abstract

BRESSAN, Juan Carlos  and  FERRAZZI DE BRESSAN, Ana E.. Interpretación geométrica de la regla de Cramer. Rev. electrón. investig. educ. cienc. [online]. 2008, vol.3, n.1, pp.1-9. ISSN 1850-6666.

The knowing kernel of this work is Cramer rule, its relations with linear transformations and its geometric interpretation. To obtain it, this paper was organized in two parts. Part one: It was made a geometric interpretation and demonstration of Cramer rule for systems of three linear equations, using vector and inner products and Euclidean space properties. Part two: It was generalized that concepts at systems of n-linear equations using Linear Algebra properties. In both parts, it was expressed the unknown quantities as orthogonal components quotient with its interpretations. Almost, it was analyzed the linear system solutions when the vector columns coefficient of every unknown quantities are orthogonal or ortonormal two.

Keywords : Knowing kernel; Cramer rule; Linear transformation; Determinant; Orthogonal.

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