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Mathematics-Online course: Linear Algebra - Matrices - Special Matrices

Cyclic Matrices


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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)

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  automatically generated 4/21/2005