Prove:$A B$ and $B A$ has the same characteristic polynomial.
31606
Do matrices $ AB $ and $ BA $ have the same minimal and characteristic polynomials?
34693
Prove $E^{\mathbb Q}[Y]=E^{\mathbb P}[XY]$ if $E^{\mathbb P}[X]=\mathbb P(X>0)=1$ and $ \mathbb Q(A)=E^{\mathbb Q}[X1_A] $
19132
Similar matrices have the same eigenvalues with the same geometric multiplicity
53915
prove that $a \equiv b \mod m$ is an equivalence relation on the integers
63920
Does the fact that matrices $A, B$ are similar imply that $A+cI$ is similar to $B+cI$?
123275
Prove $[A,B^n] = nB^{n-1}[A,B]$
110502
$AB=BA$ with same eigenvector matrix
20110
How to prove $(AB)^T=B^T A^T$
21737
If $A|B$ and $B|A$ then prove $A=\pm B$
43310
Proving $A\cap(B-C)$ is equal to $(A\cap B)-(A\cap C)$
56211
An operator that commutes with another operator $T$ with distinct characteristic values is a polynomial in $T$
6091
Similarity of products $AB$ and $BA$ of square matrices
158724
Show that $B$ is diagonalizable if If $AB=BA$ and $A$ has distinct real eigenvalues
149287
Prove that $A,B>0$ and $A_{ij}0$
149364
Characteristic polynomial of an inverse
46429
Question about proof that $(a + b)^p = a^p+b^p$ in a field of characteristic $p$.
137890
Diagonalizable Operators and characteristic polynomials