Juan Carlos Bressan; Ana E. Ferrazzi de Bressan
Description:
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 Algebraproperties. 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 columnscoefficient of every unknown quantities are orthogonal or ortonormal two.