When are two matrices A and B: AB = BA?
25430
When is matrix multiplication commutative?
82410
Find $C$, if $A=CBC$, where $A$,$B$,$C$ are symmetric matrices.
33591
Product of two matrices sharing the same eigenvector
15416
A weak converse of $AB=BA\implies e^Ae^B=e^Be^A$ from "Topics in Matrix Analysis" for matrices of algebraic numbers.
90475
Coordinate-free proof of $\operatorname{Tr}(AB)=\operatorname{Tr}(BA)$?
139685
If $A^2$ and $B^2$ are similar matrices, do $A$ and $B$ have to be similar?
99585
Do the non-zero eigenvalues of AB and BA have the same algebraic multiplicity (for AB and BA not square)?
95227
Is the set of all $n\times n$ matrices, such that for a fixed matrix B  AB=BA, a subspace of the vector space of all $n\times n$ matrices?
151443
Find two $2 \times 2$ matrices $A$ and $B$ with the same rank, determinant,...but they are not similar.
145980
For every matrix $A\in M_{2}( \mathbb{C}) $ there's  $X\in M_{2}( \mathbb{C})$ such that $X^2=A$?
63920
Does the fact that matrices $A, B$ are similar imply that $A+cI$ is similar to $B+cI$?
25357
Matrices $B$ that commute with every matrix commuting with $A$
11620
Is it true that any matrix in $M_2(\mathbb R)$ is the sum of two squares?
35080
If matrices $A$ and $B$ commute, $A$ with distinct eigenvalues, then $B$ is a polynomial in $A$
52882
find nonsingular matrices $B$ and $C$ that satisfy $BC+ CB= 0$
128760
If $A$ and $B$ two $n\times n$ matrix such that $AB=BA$, then $\dim(A\cap B)$?
33560
Show that matrices $A$ and $B$ commute if and only if $\begin{vmatrix} b & a-c \\ e & d-f\end{vmatrix}=0.$