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Intersection over an index

• To: mathgroup at smc.vnet.net
• Subject: [mg128408] Intersection over an index
• From: Geoffrey Eisenbarth <geoffrey.eisenbarth at gmail.com>
• Date: Tue, 16 Oct 2012 20:12:11 -0400 (EDT)
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• Delivered-to: l-mathgroup@wolfram.com
• Delivered-to: mathgroup-newout@smc.vnet.net
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Given a set of n many matrices A[k], I'd like to find any common eigenvectors. Using

Intersection[Table[Eigenvalues[A[k]],{k,1,n}] doesn't seem to work. For instance:

A[1] = {{-1, -3, 1}, {0, -3, 0}, {-1, -1, -1}};
A[2] = {{-2, -1, 1}, {0, -1, 0}, {-1, 1, -2}};
Intersection[Table[A[p], {p, 1, 2}]]

gives me 
{{{-2, -1, 1}, {0, -1, 0}, {-1, 1, -2}}, {{-1, -3, 1}, {0, -3, 
   0}, {-1, -1, -1}}}


Any suggestions?

• Follow-Ups:
  • Re: Intersection over an index
    • From: Geoffrey Eisenbarth <geoffrey.eisenbarth@gmail.com>
  • Re: Intersection over an index
    • From: Sseziwa Mukasa <mukasa@gmail.com>
  • Re: Intersection over an index
    • From: Bob Hanlon <hanlonr357@gmail.com>