Incomplete simplification

*To*: mathgroup at smc.vnet.net*Subject*: [mg49285] Incomplete simplification*From*: carlos at colorado.edu (Carlos Felippa)*Date*: Sun, 11 Jul 2004 02:16:18 -0400 (EDT)*Sender*: owner-wri-mathgroup at wolfram.com

Using Mathematica 4.2 on a mac I defined a 6 x 3 symbolic matrix and take its Moore-Penrose inverse: S={{0,-x31,x21},{x31,0,-x11},{-x21,x11,0},{0,-x32,x22}, {x32,0,-x12},{-x22,x12,0}}; G=PseudoInverse[S]; Mathematica thinks the entries are complex, so it returns a result with Conjugate[x11], etc. To get rid of them I tried G=Simplify[G,x11\[Element]Reals&&x21\[Element]Reals <...> ]; But the Conjugate[...] are still there. Fortunately G=ComplexExpand[G] works. But why is Simplify unable to use the reality assumptions?

**Follow-Ups**:**Re: Incomplete simplification***From:*Andrzej Kozlowski <akoz@mimuw.edu.pl>