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Mathematik-Online problems:

Problem 69: Determiniation of the Type of Jordan Forms


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

Consider the matrix $ A\in\mathbb{C}^{4\times 4}$ to have exactly two eigenvalues, $ \lambda$ and $ \mu$.
a)
Find all matrices that are a possible Jordan canonical form of $ A$.
b)
Is it possible to determine the Jordan canonical form of $ A$, only using algebraic and geometric multiplicities of the eigenvalues?

(Authors: Kimmerle/Höfert)

Solution:


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  automatisch erstellt am 14. 10. 2004