Exercise4

Use Sage to solve the following equation by finding an \(LU\) factorization:

\begin{equation*} \left[\begin{array}{rrr} 3 \amp 4 \amp -1 \\ 2 \amp 4 \amp 1 \\ -3 \amp 1 \amp 4 \\ \end{array}\right] \xvec = \threevec{-3}{-3}{-4} \text{.} \end{equation*}

in-context