Given any invertible symmetric matrix:
$A=\begin{bmatrix}a&b&c\\ b&d&e\\ c&e&f\end{bmatrix}$
over the complex number,
Can be it factored as $A=T^\top T$?
where $T^\top$ is the transpose matrix of $T$, for some invertible matrix $T$.
Any suggestions are welcome!
Thanks!