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Mathematik-Online problems:

Problem 52: Eigenvalues and Eigenspaces 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

Proof that $ \lambda_1={\mathrm{i}}$ is an eigenvalue of the matrix

\begin{displaymath}A=\left(
\begin{array}{rrrr}
12 & -11 & 6 & 6 \\
15 & -10 ...
...
4 & -1 & -1 & 1 \\
5 & -1 & -4 & 3
\end{array}\right) \ . \end{displaymath}


Find all eigenvalues and the according eigenspaces of $ A$.

(Authors: Kimmerle/Höfert)

Solution:


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  automatisch erstellt am 14. 10. 2004