A regra dos termos duais: uma interpretação do método de Cramer no plano complexo

Abstract

In High School, there is a lack of interesting applications related to the study of complex numbers, which is sometimes reflected in an arid approach to this topic, which is, almost, your characteristic. In this work, we aim to provide for the teacher unusual applications of algebra and geometry of complexes, through which he can motivate and illustrate his classes by teaching them, connecting them to the resolution and discussion of linear systems with small dimension over R. In this context, we will establish an interpretation of Cramer’s method in the complex plane, which we will call the “Rule of Dual Terms”. This will require, by extension, the acts of defining and exploring the “Horizontal and Vertical Transliners of Space Mn×m(C)” which we will prove to be diagonalizable automorphisms.