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Mathematik-Online problems:

Problem 580: Parameter Dependent Quadrics

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
Find the type and the normal form of the quadric

$\displaystyle Q(c): \ 2x_1x_2+cx_3^2+2(c-1)x_3 = 0 $

dependent on $ c$.

Show that for each $ P \in \mathbb{R}^3$ exactly one of the following states holds :

(Authors: Höllig/Höfert)

see also:

  automatisch erstellt am 12.  3. 2018