Mo logo [home] [lexicon] [problems] [tests] [courses] [auxiliaries] [notes] [staff] german flag

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:


[Annotations] [Links]

  automatically generated 1/27/2005