Sunday, 24 May 2015

linear algebra - Do similar, non-diagonalizable matrices have the same eigenvalues?

To better explain, I have the matrix
[320500kb2]


where k is chosen to make the matrix non-diagonal. I have to find, if possible, a matrix with the same eigenvalues which is not similar to this one, but I can't seem to find it.
Is it only this particular case, or in general non-diagonalizable matrices that are not similar have different eigenvalues?




Thanks in advance.

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