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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!

3 Answers 3