Characteristic polynomial of $r \times r$ companion matrix
35247
The characteristic and minimal polynomial of a companion matrix
89553
proof that every finite matrix has an annihilating polynomial
57515
Similar matrices and field extensions
46265
Minimal polynomial of the operator $T:V\oplus W\to V\oplus W$
127620
Matrix exponential of a traceless $2\times2$ complex matrix
144394
Order 2 elements in finite characteristic field
78298
On the nilpotence of the matrix $AB-BA$
30889
Classifying complex $2\times 2$ matrices up to similarity
17391
Diagonalisation and characteristic polynomial
31999
Relation of this antisymmetric matrix $r = \left(\begin{smallmatrix}0 &1\\-1&0\end{smallmatrix}\right)$ to $i$
19280
Jordan Canonical Form determined by characteristic and minimal polynomials in dimension $3$, but not beyond
106493
Coefficients of characteristic polynomial of a matrix
153961
Determinant of $2 \times 2$ block matrix with commuting blocks
62237
Characteristic polynomial equals minimal polynomial iff $x, Mx, \ldots, M^{n-1} x$ are linearly independent
30665
Elegant proofs that similar matrices have the same characteristic polynomial?
31606
Do matrices $ AB $ and $ BA $ have the same minimal and characteristic polynomials?
57731
Can commuting matrices $X,Y$ always be written as polynomials of some matrix $A$?