If $A$ is a non- singular matrix and $AB= I$ , can we comment $B$ is inverse of $A$?
3301
If $AB = I$ then $BA = I$
128760
If $A$ and $B$ two $n\times n$ matrix such that $AB=BA$, then $\dim(A\cap B)$?
10911
$A \in M_{n}(\mathbb{R})$ has inverse if and only if it's rank is n.
90402
$AB$ is not invertible
153506
Proving the inverse of a matrix equals $I_n-\frac{1}{n-1}A$
67990
Commutativity of matrix and its transpose
134075
Inverse of $A^{-1}+B^{-1}$
141173
Are there matrices such that $AB=I$ and $BA \neq I$
78736
Check my proof that $(ab)^{-1} = b^{-1} a^{-1}$
148946
If $\mathbf{A}$ is a $2\times 2$ matrix that satisfies $\mathbf{A}^2 - 4\mathbf{A} - 7\mathbf{I} = \mathbf{0}$, then $\mathbf{A}$ is invertible
63475
Is there any connection between a matrix being invertible and being diagonalizable?
70723
Why are nonsquare matrices not invertible?
143629
Looking for insightful explanation as to why right inverse equals left inverse for square invertible  matrices
6398
Can the product of an $4\times 3$ matrix and a $3\times 4$ matrix be invertible?
78298
On the nilpotence of the matrix $AB-BA$
64077
$I_m - AB$ is invertible if and only if $I_n - BA$ is invertible.
77554
Inverse of the sum of matrices