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Find the eigenvalues and corresponding eigenvectors of the matrix:

0 0 1
M = 1 0 0
0 1 0

2 answers

L1 = 1
L2 = -.5 - .866 i
L3 = -.5 + .866 i
eigenvectors messy

see
http://www.wolframalpha.com/widgets/view.jsp?id=9aa01caf50c9307e9dabe159c9068c41
.866 is sin 60 by the way
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