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Mathematik-Online problems:

Problem 62: Diagonalization of a 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

\begin{displaymath}A=\left(
\begin{array}{rrr}
1 & 4 & 2 \\
4 & 1 & 2 \\
2 & 2 & -2
\end{array}\right).
\end{displaymath}

Find an orthogonal matrix $ T$ so that $ D=T^{\rm {\,t}}AT$ is diagonal and give $ D$ explicitly.
(Authors: Kimmerle/Apprich/Höfert)

see also:


[Solutions]

  automatisch erstellt am 14. 10. 2004