I need to find the eigenvalues and eigenvectors of a matrix of the form(adsbygoogle = window.adsbygoogle || []).push({});

[tex]

\left ( \begin{array}{cc}

X_1 & X_2 \\

X_2 & X_1

\end{array} \right )

[/tex]

where the [itex]X_i[/itex]'s are themselves [itex]M \times M[/itex] matrices of the form

[tex]

X_i = x_i \left ( \begin{array}{cccc}

1 & 1 & \cdots & 1 \\

1 & 1 & \cdots & 1 \\

\vdots & \vdots & \ddots & \vdots \\

1 & 1 & \cdots & 1

\end{array} \right )

[/tex]

Is there any theroem that could help? Something like if you find the eigenvalues of the [itex]X_i[/itex]'s then the eigenvalues of the block-matrix are...

Thanks

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# Homework Help: Block matrix eigenvalues

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