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MathGroup Archive 2006

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Strange empty set of solutions

  • To: mathgroup at smc.vnet.net
  • Subject: [mg71771] Strange empty set of solutions
  • From: José Carlos Santos <jcsantos at fc.up.pt>
  • Date: Tue, 28 Nov 2006 06:04:25 -0500 (EST)

Hi all,

I have a certain 3 x 3 numerical matrix M. If I type

Solve[M.{a,b,c}=={0,0,0},{a,b,c}]

I get

{{a -> 0. + 0.0410026 c, b -> 0. + 1.35294 c}}

However, if I type

Solve[{M.{a,b,c}=={0,0,0},a^2+b^2+c^2==1},{a,b,c}]

I get the empty set. Why is that? I should get two solutions!

Best regards,

Jose Carlos Santos


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