LU Factorization/Examples

Examples of LU Factorizations

Arbitrary Example

The matrix:

$\begin {pmatrix} 2 & 1 \\ -1 & 2 \end {pmatrix}$

has this LU factorization:

$\begin {pmatrix} 1 & 0 \\ -1 & 1 \end {pmatrix} \begin {pmatrix} 2 & 1 \\ 0 & 3 \end {pmatrix}$