User:Labahia

This is just a sandbox from which to modify math found on wikipedia before copying for my own use:



{\mathbf{\Gamma=LDL^T}} = \begin{pmatrix}  1 & 0 & 0 \\ L_{21} & 1 & 0 \\ L_{31} & L_{32} & 1\\ \end{pmatrix} \begin{pmatrix}  D_1 & 0 & 0 \\ 0 & D_2 & 0 \\ 0 & 0 & D_3\\ \end{pmatrix} \begin{pmatrix}  1 & L_{21} & L_{31} \\ 0 & 1 & L_{32} \\ 0 & 0 & 1\\ \end{pmatrix}= \begin{pmatrix}  D_1 &   &   \\ L_{21}D_1 & L_{21}^2D_1 + D_2& \\ L_{31}D_1 & L_{31}L_{21}D_{1}+L_{32}D_2 & L_{31}^2D_1 + L_{32}^2D_2+D_3 \\ \end{pmatrix}. $$

Labahia (talk) 02:57, 25 January 2009 (UTC)