Complex matrices A, B satisfy rank(AB - BA) <=1, A, B can be simultaneously upper triangulated
75117
$\mathrm{rank}(AB-BA)=1$ implies $A$ and $B$ are simultaneously triangularisable
23224
$\mbox{rank}(A)=1$ implies $\det(A+I)=\mbox{trace}(A)+1$
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?
106288
Prove that the eigenvalues of a block matrix are the combined eigenvalues of its blocks
6091
Similarity of products $AB$ and $BA$ of square matrices
106986
Eigenvalues of $AB$ and $BA$
64861
Intersection of open affines can be covered by open sets distinguished in *both*affines
59397
Eigenvalues of $AB$ and $BA$ where $A$ and $B$ are square matrices
133482
$AB-BA$ is a nilpotent matrix if it commutes with $A$
122853
Show that $\operatorname{rank}(A) = \operatorname{rank}(B)$
105996
Topology of matrices
94639
Proof that the rank of a skew-symmetric matrix is at least $2$
56097
If $A$ and $AB-BA$ commute, show that $AB-BA$ is nilpotent
37061
The order of $ab$ when $a,b$ commute
47589
Product of a primitive matrix and its transpose.
141173
Are there matrices such that $AB=I$ and $BA \neq I$
117293
sufficient and necessary conditions for matrix to be diagonalize or triangular