Cônicas, álgebra linear e geogebra, uma combinação que deu certo
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Data
2014-09-26
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Universidade Federal de Goiás
Resumo
In the rst part of this work, we present all conical with their cartesian equations
and their graphs. Then, we made an approach to concepts of linear algebra, vector
spaces, linear transformations, eigenvalues and eigenvectors in order to build matrices
of linear transformations able to rotate, translate or even make these conical shear.
Constructed matrices, GeoGebra software for constructing graphs obtained by transformation
matrices were used. Besides this geometric part, we discuss the quadratic
forms in order to identify a conic analyzing only the coe cients of its quadratic form
and the eigenvalues. The end result was an excellent visual material built from software
GeoGebra applying the concepts of Linear Algebra. We can not fail to mention that
the construction of the taper in GeoGebra techniques that replace the ruler, compass
and the string used by the ancient Greeks were implemented.
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SOUZA , Vitor Rodrigues Braga de. Cônicas, álgebra linear e geogebra, uma combinação que deu certo. 2014. 82 f. Dissertação (Mestrado Profissional em Matemática em Rede Nacional) - Universidade Federal de Goiás, Goiânia, 2014.