Keyword: «eigenvectors»

The paper considers the method of bringing the equations of curves and surfaces of the second order to the canonical form. The stages of practical calculating the orthogonal transformation resulting in a quadratic form to canonical form are illustrated on the examples. The prospects of using the application package in the educational process (namely, MathCAD environment) are shown. The procedure of finding the eigenval-ues and eigenvectors with this tool is demonstrated on the examples. Their finding is usually time-consuming, so for the speed of counting, it is advisable to use MathCAD program. The paper will be useful to students and lecturers during seminars on the subject "Linear Algebra".