Let $A$ and $B$ be two $6 \times6$ nilpotent matrices. How would you prove they are similar?
By definition, their characteristic polynomials are equal, being $\lambda^6$, but from there how can I proceed?
Let $A$ and $B$ be two $6 \times6$ nilpotent matrices. How would you prove they are similar?
By definition, their characteristic polynomials are equal, being $\lambda^6$, but from there how can I proceed?
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