Mathematics-Online lexicon: Cyclic Matrices

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	Mathematics-Online lexicon:
	Cyclic Matrices

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

overview

In a cyclic $n\times n$ -matrix every column is a cyclic permutation of the first column as follows:

$\begin{displaymath} \left[ \begin{array}{cccc} a_0 & a_{n-1} & a_{n-2} & \ldo... ...dots\\ \vdots & \vdots & \vdots & \end{array} \right]\,. \end{displaymath}$

The product of two cyclic $n\times n$ -matrices is cyclic.

(Authors: App/Burkhardt/Höllig)

Example:

Example: Cyclic Matrices

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automatically generated 1/27/2005