Hello,

I know that number of positive pivots of symmetric matrix equals to the number of positive eigenvalues (same with negative ones).

I know how to find eigenvalues but it is not so quick. I heard that much more easier to find pivots (if i need to know how much positive/negative eigenvalues specific matrix has).

but i not sure how to find pivots.

Suppose i have matrix

$\displaystyle \[ \left( \begin{array}{ccc}

a & b & c \\

d & e & f \\

g & h & i \end{array} \right)\]$

how i calculate pivots?

thanks!