Characteristic polynomial of AB and BA.
31606
Do matrices $ AB $ and $ BA $ have the same minimal and characteristic polynomials?
14111
Determining possible minimal polynomials for a rank one linear operator
90475
Coordinate-free proof of $\operatorname{Tr}(AB)=\operatorname{Tr}(BA)$?
130720
Special linear algebra over finite field with characteristic 3
138631
Overlapping Polynomials
56097
If $A$ and $AB-BA$ commute, show that $AB-BA$ is nilpotent
110502
$AB=BA$ with same eigenvector matrix
132059
Minimal polynomials and cyclic subspaces
82295
Showing that the minimal polynomial of an $n \times n$ matrix has degree at most $n$ without using the Cayley-Hamilton Theorem
26570
Prove $\operatorname{rank}(AB) = \operatorname{rank}(B)$
4885
Polynomials with integer coefficients such that $p(a)=b,p(b)=c,p(c)=a$
149364
Characteristic polynomial of an inverse
132213
Is every real monic polynomial the characteristic polynomial of a real matrix?
62237
Characteristic polynomial equals minimal polynomial iff $x, Mx, \ldots, M^{n-1} x$ are linearly independent
15626
Relations of a~b iff b = ak^2
98273
minimal polynomial of powers of a matrix
63321
Polynomials and partitions