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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
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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