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Topic: Intersection over an index
Replies: 2   Last Post: Oct 18, 2012 2:44 AM

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Geoffrey Eisenbarth

Posts: 3
Registered: 9/20/12
Intersection over an index
Posted: Oct 16, 2012 10:50 PM
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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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