When identity matrix can be expressible as $AB-BA$?
125647
Solutions to the matrix equation $\mathbf{AB-BA=I}$ over general fields
12927
$A^2+B^2=AB$ and $BA-AB$ is non-singular
145447
bilinear form - proof
87451
Construction of matrices under ZFC axioms
106986
Eigenvalues of $AB$ and $BA$
7712
How to prove the both identity (matrix)
34973
Is it true that the order of $ab$ is always equal to the order of $ba$?
90402
$AB$ is not invertible
74460
Matrices A+B=AB implies A commutes with B
140252
Matrices - Conditions for $AB+BA=0$
40478
If $C$ commutes with certain matrices $A$ and $B$, why is $C$ a scalar multiple of the identity?
8970
Proving the cross product matrix tranformation identity with an alternative solution
49330
If for two suitable matrices $B$ and $C$, $AA^TB=AA^TC$ can we conclude that $A^TB=A^TC$?
18585
Showing $A-I$ is invertible, when $A$ is a skew-symmetric matrix
6096
If $A+B=AB$ then $AB=BA$
94037
Solving the matrix equation $AP=PB$, where $A$ and $B$ are similar
24441
Inverse of a matrix is expressible as a polynomial?