full
search.png

Search

close.png

Cancel

Volume 11, Issue 2
Locus Surfaces and Linear Transformations When Fixed Point Is at Infinity

Wei-Chi Yang & Antonio Morante

Research Journal of Mathematics & Technology., 11 (2022), pp. 1-24.

Published online: 2022-11

Preview Purchase PDF 1902 284895

Cited by

google scholar semantic scholar
Export citation
  • 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.

  • Keywords

  • AMS Subject Headings

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{RJMT-11-1, author = {Yang , Wei-Chi and Morante , Antonio}, title = {Locus Surfaces and Linear Transformations When Fixed Point Is at Infinity}, journal = {Research Journal of Mathematics & Technology}, year = {2022}, volume = {11}, number = {2}, pages = {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.

}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/rjmt/21144.html} }
TY - JOUR T1 - Locus Surfaces and Linear Transformations When Fixed Point Is at Infinity AU - Yang , Wei-Chi AU - Morante , Antonio JO - Research Journal of Mathematics & Technology VL - 2 SP - 1 EP - 24 PY - 2022 DA - 2022/11 SN - 11 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/rjmt/21144.html KW - AB -

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.

Yang , Wei-Chi and Morante , Antonio. (2022). Locus Surfaces and Linear Transformations When Fixed Point Is at Infinity. Research Journal of Mathematics & Technology. 11 (2). 1-24. doi:
Copy to clipboard
BibteX RIS TXT
The citation has been copied to your clipboard