$\mathrm{tr}(AB)=\mathrm{tr}(BA)$ proof
131040
intuition behind cyclicality of the trace?
25009
$\operatorname{tr}(A)=\operatorname{tr}(A^{2})= \ldots = \operatorname{tr}(A^{n})=0$ implies $A$ is nilpotent
63535
Prove that if $A – C = B – C$ and $A\cap C = B\cap C$ then $A = B$
3301
If $AB = I$ then $BA = I$
53915
prove that $a \equiv b \mod m$ is an equivalence relation on the integers
15626
Relations of a~b iff b = ak^2
72092
If $A^2 = I$, $B^2=I$ and $(AB)^2=I$, then $AB = BA$
150738
Proof of $(A - B) - C = A - (B \cup C)$
110944
Proving that $AB-BA=cI$ for nontrivial $c \in \mathbb{C}$
158406
$A,B$ be Hermitian.Is this true that $tr[(AB)^2]\le tr(A^2B^2)$?
109498
Linear maps $f: M_n \longrightarrow \mathbb{R}$ such that $f(AB) = f(BA)$
60777
Prove $\, a_1 \Bbb Z \cap \dotsb \cap a_r \mathbb{Z} = {\rm lcm}(a_1, \ldots, a_r) \Bbb Z$
22215
How to prove Binet theorem, namely $\det ( AB ) = \det (A ) \det ( B )$?
130253
Differentiating $\mbox{tr} (ABA^TC)$ w.r.t. $A$
29692
Proof verification: elementary Number Theory Proof of $am+bn = 1$
80876
Proof of $A\cap(B\cup C) = (A\cap B)\cup(A\cap C)$
43310
Proving $A\cap(B-C)$ is equal to $(A\cap B)-(A\cap C)$