Is there would be any matrices $A$ & $B$ where the relation $AB$-$BA$=$I$ holds?
7622
$AB-BA=I$ having no solutions
110944
Proving that $AB-BA=cI$ for nontrivial $c \in \mathbb{C}$
129007
Relation between AB and BA
151332
If $A,B$ have eigenvalues $\pm1$, what can I say about the eigenvalues of $AB,BA$?
125647
Solutions to the matrix equation $\mathbf{AB-BA=I}$ over general fields
9574
How to show that $\det(AB) =\det(A) \det(B)$?
140290
Solving $AB - BA = C$
76200
Is the rank of $AB$ always equal to the rank of $BA$?
3301
If $AB = I$ then $BA = I$
133482
$AB-BA$ is a nilpotent matrix if it commutes with $A$
84422
$AB=BA$, $AC=CA$ we need to show $BC=CB$
84626
Why in these matrices are $AB=BA$ not equal? What is the logic behind them?
128760
If $A$ and $B$ two $n\times n$ matrix such that $AB=BA$, then $\dim(A\cap B)$?
128990
Prove that, at least one of the matrices $A+B$ and $A-B$ has to be singular
145980
For every matrix $A\in M_{2}( \mathbb{C}) $ there's  $X\in M_{2}( \mathbb{C})$ such that $X^2=A$?
42500
Let $A$ and $B$ be matrices over $\mathbb C$. Then pick out the correct statements.
136142
Is division of matrices possible?