If AB = BA, what shape must A and B have? Assume A and B are matrices.
25430
When is matrix multiplication commutative?
86841
Find a matrix $B$ such that $B^3 = A$
123808
How would I solve the following problem involving elementary matrices?
49330
If for two suitable matrices $B$ and $C$, $AA^TB=AA^TC$ can we conclude that $A^TB=A^TC$?
141173
Are there matrices such that $AB=I$ and $BA \neq I$
120867
How prove this two symmetric matrices $AB=0$
158724
Show that $B$ is diagonalizable if If $AB=BA$ and $A$ has distinct real eigenvalues
33542
When is $A- B = B- A$?
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?
45760
if G is generated by {a,b} and ab=ba, then prove G is Abelian
78298
On the nilpotence of the matrix $AB-BA$
59397
Eigenvalues of $AB$ and $BA$ where $A$ and $B$ are square matrices
37061
The order of $ab$ when $a,b$ commute
84422
$AB=BA$, $AC=CA$ we need to show $BC=CB$
114250
If $V_0$ is the subspace of matrices of the form $C=AB-BA$ for some $A,B$ in a vector space $V$ then $V_0=\{A\in V|\operatorname{Trace} (A)=0\}$
8638
If I know $AB$, how can I calculate $BA$?
75117
$\mathrm{rank}(AB-BA)=1$ implies $A$ and $B$ are simultaneously triangularisable