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$A$ is square symmetric matrix as:

$$A=\begin{pmatrix} A_1&A_2 \\ A_3 & A_4 \end{pmatrix}$$ I have two points which need help to understand clearly:
All blocks $A_1$, $A_2$, $A_3$, $A_4$ of symmetric $A$ are symmetric too. Is it right?
Is any relation between eigenvectors/eigenvalues of matrix $A$ and its blocks?
Thank you for your help.

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    I don't understand, what $A$ is ?2012-08-07
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    I've edited your post using TeX syntax for better readability. Please, check whether I did unintentionally not change the meaning (and edit the post again, if needed). For some basic information about writing math at this site see e.g. [here](http://meta.stackexchange.com/questions/68388/there-should-be-universal-latex-mathjax-guide-for-sites-supporting-it/70559#70559), [here](http://meta.math.stackexchange.com/questions/1773/do-we-have-an-equation-editing-howto) and [here](http://math.stackexchange.com/editing-help#latex).2012-08-07
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    Ohh, I'm seeking a editing, and see your correction. Thanks to Martin Sleziak!2012-08-07

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