Matrizes circulantes : aplicação na resolução de equações polinomiais

Abstract

Studies on many sorts of equations motivated and still motivate many mathematicians around the world. Most of the well-known mathematicians from the years 1400 to 1700 gave huge contributions to the study of algebraic equations. Solving equations was already a challenge since the beginning of the mathematical knowledge. In this paper, a technique is presented to solve polynomial equations up to fourth order, that use the circulating matrixes and basic knowledge of linear algebraic. Throughout this work we will collect the history of involved topics besides illustrating this entire dissertation with examples. Finally, a didactical sequence of our paper’s content will be presented, that we suggest to be developed in five days of classes within three hours of lessons a day, aiming at improving student’s preparation for the academic life.