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
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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?
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