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Mathematik-Online problems:

Problem 1048: Diagonalization of a Symmetric Matrix


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

Given the matrix

$\displaystyle A=\left( \begin{array}{rrr} 3 & 2 & -2 \\ 2 & 0 & -1 \\ -2 & -1 & 0 \end{array}\right).
$

Find an orthogonal matrix $ T$ in such a way that $ D={T}^{\operatorname t}AT$ is a diagonal matrix and give $ D$ explicitly.

(Author: Christian Höfert)

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  automatisch erstellt am 14. 12. 2007