Mathematik-Online problems: Problem 96: Eigenvalues and (generalised) Eigenvectors, Jordan Form

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

(Authors: Roggenkamp/Höfert)

see also:

automatisch erstellt am 14. 10. 2004