Can every polynomial be seen as characteristic polynomial of a matrix?
132213
Is every real monic polynomial the characteristic polynomial of a real matrix?
94256
Partial factorization of multivariate polynomials in terms of given polynomials
126064
What are examples of two non-similar invertible matrices with same minimal and characteristic polynomial and same dimension of each eigenspace?
52528
Showing that minimal polynomial has the same irreducible factors as characteristic polynomial
145980
For every matrix $A\in M_{2}( \mathbb{C}) $ there's  $X\in M_{2}( \mathbb{C})$ such that $X^2=A$?
139017
If a polynomial takes integer values at every integer, does it have integer coefficients?
82295
Showing that the minimal polynomial of an $n \times n$ matrix has degree at most $n$ without using the Cayley-Hamilton Theorem
7612
How can I compute eigenvalues or characteristic polynomial of this matrix? Please help.
11654
Where does $xe^x$ solution come from when the characteristic polynomial is square?
56211
An operator that commutes with another operator $T$ with distinct characteristic values is a polynomial in $T$
98273
minimal polynomial of powers of a matrix
155828
How do I show that $A$ and $A^T$ are similar, given that the minimal polynomial of $A$ splits over $\mathbb{F}$?
32352
Is a bivariate function that is a polynomial function with respect to each variable necessarily a bivariate polynomial?
127304
Understanding the algebra of polynomials on a linear space
66714
Characteristic polynomial of companion matrix
48260
If $R=K[X]/(X^n)$, can represent any element as polynomial with degree $<n$
151729
Existence of a unique polynomial