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Mathematik-Online problems:

Problem 71: Real Eigenvalues

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 the statement:

``All eigenvalues of $ A$ are real ...``
a)
... for all symmetric matrices $ A\in\mathbb{R}^{n\times n}$,
b)
... for all hermitian matrices $ A\in\mathbb{C}^{n\times n}$.

(Authors: Kimmerle/Höfert)

see also:

[Solutions]
  automatisch erstellt am 14. 10. 2004