#gaussian reduction

Numeric LU factorization example

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To get a better feel for LU factorization before attempting a numeric implementation, let’s look at a numeric example in detail. This will strip some of the abstraction away.

Let’s compute the LU factorization for

\begin{equation}\label{eqn:luExample:20} M = \begin{bmatrix} 5 & 1 & 1 \\ 2 & 3 & 4 \\ 3 & 1 & 2 \\ \end{bmatrix}. \e…