Why matlab cannot return orthogonal eigenvectors for a normal matrix?
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Now I have a normal matrix
A = [0 1 0 1 0 0 0 0 0;
0 0 1 0 1 0 0 0 0;
1 0 0 0 0 1 0 0 0;
0 0 0 0 1 0 1 0 0;
0 0 0 0 0 1 0 1 0;
0 0 0 1 0 0 0 0 1;
1 0 0 0 0 0 0 1 0;
0 1 0 0 0 0 0 0 1;
0 0 1 0 0 0 1 0 0];
It should have orthogonal eigenvectors, however, matlab eig function cannot return the orthogonal ones. Is it the problem with the algorithm?
采纳的回答
David Goodmanson
2016-10-21
0 个投票
Hello Ran, If a matrix A is normal it can be diagonalized with a unitary matrix, A = U D U', but no one is saying that the set of eigenvectors of A necessarily provides the matrix U. Lot of times it doesn't.
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