Prove that there are not two matrices 2x2 such that: $AB-BA=I_2$
7622
$AB-BA=I$ having no solutions
140252
Matrices - Conditions for $AB+BA=0$
39353
Matrices that can only be permutation matrices
35874
Show that when $BA = I$, the solution of $Ax=b$ is unique
55787
Is there any matrix $2\times 2$ such that $A\neq I$ but $ A^3=I$?
156989
Proof that Hadamard matrices of order $4k+2$ don't exist
84422
$AB=BA$, $AC=CA$ we need to show $BC=CB$
156834
Why are there $736$ matrices $M\in \mathcal M_2(\mathbb{Z}_{26})$ for which it holds that $M=M^{-1}$?
130498
Linear algebra proof regarding matrices
45760
if G is generated by {a,b} and ab=ba, then prove G is Abelian
66709
Are the matrix products $AB$ and $BA$ similar?
62232
A real $2 \times 2 $ matrix $M$ such that $M^2 = \tiny \begin{pmatrix} -1&0 \\ 0&-1-\epsilon \\ \end{pmatrix}$ , then :
15416
A weak converse of $AB=BA\implies e^Ae^B=e^Be^A$ from "Topics in Matrix Analysis" for matrices of algebraic numbers.
106986
Eigenvalues of $AB$ and $BA$
25488
Let $A,B$ be $m\times m$ matrices such that $AB$ is invertible. Show $A,B$ invertible.
104653
$A$ and $B$ are $3\times 3$ real matrices such that $\operatorname{rank}(AB)=1$, then $\operatorname{rank}(BA$) can not be which of the following?
125668
A proof that BS(1,2) is not polycyclic