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Mathematik-Online problems:

Problem 96: Eigenvalues and (generalised) Eigenvectors, Jordan Form


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}{rcr} 1 & 1 & 1 \\ -1 & 1 & -1 \\ 1 & 0
& 2
\end{array}\right). $

a)
Find the eigenvalues and eigenspaces of $ A$.
b)
Find a matrix $ T\in\mathbb{R}^{3\times 3}$ so that $ J=T^{-1}AT$ is the Jordan canonical form of $ A$.

(Authors: Roggenkamp/Höfert)

see also:


[Solutions]

  automatisch erstellt am 14. 10. 2004