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Mathematik-Online problems:

Problem 97: Central Quadric, Center

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Let

$\displaystyle Q: x_1^2-2x_2^2-x_3^2+x_1x_2-2\sqrt{3}\,x_1x_3+\sqrt{3}\,x_2x_3+2\,(1+\sqrt{3})\,x_1-8x_2-2\,(1-\sqrt{3})\,x_3=5 $

be a quadric in $ \mathbb{R}^3$ . Show that $ Q$ is a central quadric and find its center $ M$ .

(Authors: Kimmerle/Roggenkamp/Höfert)

Solution:

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  automatisch erstellt am 14. 12. 2007