LU Factorization/Examples/Arbitrary Example 1

Example of LU Factorization

The matrix:

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

has this LU factorization:

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

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): LU factorization
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): LU factorization