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Incomplete simplification


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?


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