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Symbolic Matrix Inversion -- What's the best method for Rank under 100?

• To: mathgroup at smc.vnet.net
• Subject: [mg13976] Symbolic Matrix Inversion -- What's the best method for Rank under 100?
• From: Rodger.W.Dyson at lerc.nasa.gov (Rodger W Dyson)
• Date: Sat, 12 Sep 1998 16:59:04 -0400
• Organization: NASA Lewis Research Center
• Sender: owner-wri-mathgroup at wolfram.com

Given a symbolic matrix of rank N, is there a way to avoid the excessive
symbol growth which occurs while finding its symbolic inverse? 

The maximum rank would be N=100, 

M f = N d  where M and N are symbolic matrices and f and d are vectors.
The elements of M and N are nonlinear symbolic functions of nx, ny, and
x.

Would like f=LinearSolve[M,N d] solution or the symbolic inverse of M.

Thank you,