16.-Linear-Algebra-by-Kenneth-Hoffman · Problem 7.3.1

The Rational and Jordan Forms

Mathematics — Linear Algebra · nilpotent-matrices-similarity

Problem

Let N1N_1 and N2N_2 be 3×33 \times 3 nilpotent matrices over the field FF. Prove that N1N_1 and N2N_2 are similar if and only if they have the same minimal polynomial.

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