Hostname: page-component-586b7cd67f-vdxz6 Total loading time: 0 Render date: 2024-12-03T05:11:34.083Z Has data issue: false hasContentIssue false
  • English
  • Français

On the Discriminant x'Ax.y'Ay-(x'Ay)2

Published online by Cambridge University Press:  20 November 2018

H. Schwerdtfeger
H. Schwerdtfeger*
Affiliation:
McGill University
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Let x, y be column matrices of n real homogeneous coordinates xj, yj (j = 1,..., n) representing points in (n - 1) - dimensional real projective space Pn - 1. Let A be an n × n real symmetric matrix. The equation x' Ax = 0 represents a quadric in Pn - 1 and the equation

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 1 , Issue 3 , 01 September 1958 , pp. 175 - 179
Copyright
Copyright © Canadian Mathematical Society 1958

References

1. Schwerdtfeger, H., Introduction to Linear Algebra and the Theory of Matrices, Noordhoff,(Groningen 1950).Google Scholar
2. Aczél, J. (Ya. Acel'), Some general methods in the theory of functional equations in one variable. New applications of functional equations (in Russian) Uspehi Mat. Nauk (N.S.) 11,(1956) No. 3 (69), 3-68; in particular p.42. Cf. Math. Reviews 18, p.807.Google Scholar