[Solution] Find the LU factorization of the matrix A and use it to solve Ax=b, where
Question: Find the LU factorization of the matrix A and use it to solve \(Ax=b\), where
\[A=\left[ \begin{matrix} 1 & 2 & -1 & 4 \\ -3 & -5 & 6 & -5 \\ 1 & 4 & 6 & 20 \\ -1 & 6 & 20 & 43 \\ \end{matrix} \right],\,\,\,b=\left[ \begin{matrix} -3 \\ 14 \\ 9 \\ 33 \\ \end{matrix} \right]\]
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