LUDecomposition

LUDecomposition[m] generates a representation of the LU decomposition of a square matrix m.

Examples

LU decomposition:

LUDecomposition[{{1, 2}, {3, 4}}]
(* {{{3, 4}, {1/3, 2/3}}, {2, 1}, 1} *)

LU of a 3x3 matrix:

LUDecomposition[{{2, 1, 1}, {4, 3, 3}, {8, 7, 9}}]
(* {{{8, 7, 9}, {1/4, -3/4, -5/4}, {1/2, 2/3, 2/3}}, {3, 2, 1}, 1} *)

Please visit the official Wolfram Language Reference for more details.