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Is there a simplification for the determinant of a symmetric matrix? For example, I need to find the roots of [tex] \det [A(x)] [/tex]

where

[tex]

A(x) = \[ \left( \begin{array}{ccc}

f(x) & a_{12}(x) & a_{13}(x) \\

a_{12}(x) & f(x) & a_{23}(x) \\

a_{13}(x) & a_{23}(x) & f(x) \end{array} \right)\]

[/tex]

Really appreciate if you could point me in the correct directions. Thanks in advance,

Krindik

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# Determinant of a symmetric matrix

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