Invertibility of $I-AB$
53113
$I-AB$ be invertible $\Leftrightarrow$ $I-BA$ is invertible
108589
The inverse of the matrix $\{1/(i+j-1)\}$
61484
Continuously invertible operators
141173
Are there matrices such that $AB=I$ and $BA \neq I$
141909
Prove ${2}^{n}\cdot(2m+1)-1 $ is invertible
64077
$I_m - AB$ is invertible if and only if $I_n - BA$ is invertible.
4517
Showing a $2\times2$ matrix is invertible
129564
Show that $A$ is an invertible matrix if $\left(A+I\right)^3=0$ and find $A^{-1}$
80616
A ring with few invertible elements
37182
If an element has a unique right inverse, is it invertible?
152817
Proving $\sup B=\inf A$
31917
If $q$ is coprime to $a$ then $a\mid nq-1,\,$ so $q$ is invertible mod $a$
119297
Finding invertible polynomials in polynomial ring $\mathbb{Z}_{n}[x]$
131701
Why is $A^TA$ invertible if $A$ has independent columns?
56097
If $A$ and $AB-BA$ commute, show that $AB-BA$ is nilpotent
25488
Let $A,B$ be $m\times m$ matrices such that $AB$ is invertible. Show $A,B$ invertible.
125195
If matrix A is invertible, is it diagonalizable as well?