Does $e^{a+b}=e^{a}e^{b}$ implies that $ab=ba$?
100549
If $e^A$ and $e^B$ commute, do $A$ and $B$ commute?
92975
Does $a^n \mid b^n$ imply $a\mid b$?
106986
Eigenvalues of $AB$ and $BA$
84626
Why in these matrices are $AB=BA$ not equal? What is the logic behind them?
3301
If $AB = I$ then $BA = I$
15626
Relations of a~b iff b = ak^2
110944
Proving that $AB-BA=cI$ for nontrivial $c \in \mathbb{C}$
158406
$A,B$ be Hermitian.Is this true that $tr[(AB)^2]\le tr(A^2B^2)$?
34973
Is it true that the order of $ab$ is always equal to the order of $ba$?
150309
Why do we assume $a+b=b+a$ in a Ring with 1. Also, is it true with Rings without 1?
146795
Proof If $AB-I$ Invertible then $BA-I$ invertible.
125348
Does $\det(A + B) = \det(A) + \det(B)$ hold?
105180
When does $(ab)^n = a^n b^n$ imply a group is abelian?
90845
Is this posible in GR $g_{ab}g^{ab}=1$?
140252
Matrices - Conditions for $AB+BA=0$
102742
order $a$ = 5, $a^3b = ba^3$. show that that $ab = ba$.
82097
If $A \succeq B$, is it true that $B^{-1} \succeq A^{-1}$?