For two n$\times$n matrices A and B, if AB=I then BA=I?
3301
If $AB = I$ then $BA = I$
128990
Prove that, at least one of the matrices $A+B$ and $A-B$ has to be singular
84422
$AB=BA$, $AC=CA$ we need to show $BC=CB$
140252
Matrices - Conditions for $AB+BA=0$
55062
$2\times 2$ matrix $C=AB-BA$
108012
A matrix $M$ that commutes with any matrix is of the form $M=\alpha I$
66709
Are the matrix products $AB$ and $BA$ similar?
120094
Prove, that for any A, B, C sets, $A\times (B\setminus C) = (A\times B)\setminus (A\times C)$ is true.
151332
If $A,B$ have eigenvalues $\pm1$, what can I say about the eigenvalues of $AB,BA$?
85581
Matrices commute if and only if they share a common basis of eigenvectors?
3330
Square matrices, ABA = A?
30583
If $a\mid b$ and $b\mid a$, $a,b\in R$, show that $\exists w \in R^\times$ with $b=wa$
133482
$AB-BA$ is a nilpotent matrix if it commutes with $A$
128760
If $A$ and $B$ two $n\times n$ matrix such that $AB=BA$, then $\dim(A\cap B)$?
80759
Proving $A\times (B\cap C)=(A \times B)\cap (A\times C)$.
64077
$I_m - AB$ is invertible if and only if $I_n - BA$ is invertible.
31606
Do matrices $ AB $ and $ BA $ have the same minimal and characteristic polynomials?