Professional paper

The General Theory of Central Quadrics with Mathematica

Jelena Beban-Brkić ; Faculty of Geodesy, University of Zagreb, Zagreb, Croatia
Ivan Medved ; Faculty of Geodesy,University of Zagreb, Zagreb, Croatia

Abstract

This paper offers the procedure for recognising central quadrics graphs given by their equations in a general form as well as their classification. There has been a program made for the computer that computes eigenvalues and eigenvectors of the matrix of the associated quadratic form within the quadratic equation on the basis of ten initial general equation coefficients of the second order surface. It writes as well the canonical equation form of the surface, classifies and delineates the surface, if it is real, in the standard (canonical) as well as in the general position.

Keywords

quadrics; linear operators; eigenvalues; eigenvectors; diagonalisation; quadratic form

Hrčak ID:

4110

URI

https://hrcak.srce.hr/4110

Publication date:

19.2.2002.

Article data in other languages: croatian

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