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Mathematik-Online problems:

Problem 63: Matrix Form and Type of a Quadric

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
Consider the quadric

$\displaystyle Q: x_1^2 - 2 x_2^2 + \alpha x_3^2 + 4 x_1 x_2 + 2 \sqrt 5 \, x_1 + 4 \sqrt 5 \, x_2 + \alpha = 0 $

with parameter $ \alpha\in\mathbb{R}$ .
a)
Give the matrix form of $ Q$ .
b)
Give the type of $ Q$ dependent on $ \alpha$ .

(Authors: Strauss/Höfert)

see also:

[Solutions]
  automatisch erstellt am 14. 12. 2007