## Erratum on Jordan normal form

Several people pointed out to me an elementary misprint in

an earlier post . It’s corrected now, but it originally claimed that the Jordan normal form was determined by the characteristic

polynomial and the minimal polynomial up to matrices. Actually, this is not true even for matrices. (Consider, matrices with .) What I meant to say is that the JNF is determined by those two polynomials *and* the dimension of the eigenspaces (=number of Jordan blocks) for each eigenvalue. These three numbers might be referred to as the *elementary invariants* of a matrix.

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