Chapter 11, Problem 5P

Perform the same calculations as in Example 11.2, but for the symmetric system,

$\left[\begin{array}{ccc}6& 15& 55\\ 15& 55& 225\\ 55& 225& 979\end{array}\right]\left\{\begin{array}{c}{a}_0\\ a_1\\ a_2\end{array}\right\}=\left\{\begin{array}{c}152.6\\ 585.6\\ 2488.8\end{array}\right\}$

In addition to solving for the Cholesky decomposition, employ it to solve for the a's.