Prove that $p_{AB}(\lambda) = p_{BA}(\lambda)$
31606
Do matrices $ AB $ and $ BA $ have the same minimal and characteristic polynomials?
34973
Is it true that the order of $ab$ is always equal to the order of $ba$?
45760
if G is generated by {a,b} and ab=ba, then prove G is Abelian
33448
Proof if $AB+BA=0$ Then atleast one of the matrices are singular.
142168
can we a prove ⊢ (α → α) → (α → α)
34712
Decomposable elements of $\Lambda^k(V)$
20110
How to prove $(AB)^T=B^T A^T$
81879
$Av=λv$ basis proof problems
78298
On the nilpotence of the matrix $AB-BA$
70512
Prove that $\int f\ d\lambda = \int_{a}^{b} f(x)\ dx,$ for any $f \in \mathcal R[a,b].$
150228
If $E$ has eigenvalues $\lambda_1, \ldots, \lambda_n$, then $B \mapsto [E,B] = EB - BE$ has eigenvalues $\lambda_i - \lambda_j$.
84522
A better proof for $\det(P) = \pm1$ if $P$ is an orthogonal matrix
30770
Prove that $C\left(\bigcup_{\alpha\in I} A_\alpha\right)=\bigcap_{\alpha\in I}C\left(A_\alpha\right)$
76200
Is the rank of $AB$ always equal to the rank of $BA$?
34768
Proving $(p \oplus q) \oplus r=p \oplus (q \oplus r)$
68732
Prove that a semigroup satisfying $a^pb^q=ba$ is commutative
147888
Show that $M=\bigcap_{\mathfrak{p}\in\operatorname{Spec}(R)}M_\mathfrak{p}=\bigcap_{\mathfrak{m}\in\text{Max}(R)}M_\mathfrak{m}$ for certain $M$.