I'm trying to find the characteristic polynomial of an nxn nilpotent matrix with complex coefficients. I understand how to do it with standard coefficients but I'm a bit confused as to how to proceed with complex coefficients.
2026-03-25 23:51:47.1774482707
How would you find the characteristic polynomial of a nilpotent matrix with complex coefficients?
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it is $$ x^n $$ while the minimal polynomial is some $x^k$ with $1 \leq k \leq n,$ unless your matrix is the zero matrix