RowReduce::luc when using NSolve

*To*: mathgroup at smc.vnet.net*Subject*: [mg99135] RowReduce::luc when using NSolve*From*: mereandor <mereandor at gmail.com>*Date*: Tue, 28 Apr 2009 04:44:38 -0400 (EDT)

I try to solve a linear equation with the following input to mathematica: NSolve[{BesselJ[0, 20] - BesselJ[0, 20] r[0] == 3 I BesselJ[0, 60 I] t[0], BesselJ[0, 20] + BesselJ[0, 20] r[0] == BesselJ[0, 60 I] t[0]}, {r[0], t[0]}] but I get RowReduce::luc: Result for RowReduce of badly conditioned matrix \ {{-0.167025+0. I,-1.61061*10^9-<<21>> I,0.167025+0. I},{<<1>>}} may \ contain significant numerical errors. >> This is only the simplest instance of my problem (2(n+1) equations in equally numbered variables). If I don't write the equations down literally but insert them into NSolve as a Table[] statement I don't even get the warning. Then the equations are solved only partially expressing t[n] as linear combination of r[n]. I use Mathematica 6.0 How can I resolve this? Thanks in advance for any help!

**Follow-Ups**:**Re: RowReduce::luc when using NSolve***From:*Daniel Lichtblau <danl@wolfram.com>