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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

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  • 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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@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.

Wei-Chi Yang & Antonio Morante. (2022). Locus Surfaces and Linear Transformations When Fixed Point Is at Infinity. Research Journal of Mathematics & Technology. 11 (2). 1-24. doi:
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