Locus Surfaces and Linear Transformations When Fixed Point Is at Infinity

Locus Surfaces and Linear Transformations When Fixed Point Is at Infinity

Year:    2022

Author:    Wei-Chi Yang, Antonio Morante

Research Journal of Mathematics & Technology, Vol. 11 (2022), Iss. 2 : pp. 1–24

Abstract

We extend the locus problems discussed in [9], [10] and [12], for a quadric surface when the fixed point is at an infinity. This paper will benefit those students who have backgrounds in Linear Algebra and Multivariable Calculus. As we shall see that the transformation from a quadric surface $\sum$ to its locus surface $\Delta$ is a linear transformation. Consequently, how the eigenvectors are related to the position of the fixed point at an infinity will be discussed.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2022-RJMT-21144

Research Journal of Mathematics & Technology, Vol. 11 (2022), Iss. 2 : pp. 1–24

Published online:    2022-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    24

Keywords:   

Author Details

Wei-Chi Yang

Antonio Morante