square matrices A and B have equal rows/colomns and A*B = I matrix does that mean that B*A also = I?
3301
If $AB = I$ then $BA = I$
53612
Same solution implying row equivalence?
85581
Matrices commute if and only if they share a common basis of eigenvectors?
44596
If $A$ is a square matrix and $A^2 = 0$ then $A=0$. Is this true? If not, provide a counter-example.
33560
Show that matrices $A$ and $B$ commute if and only if $\begin{vmatrix} b & a-c \\ e & d-f\end{vmatrix}=0.$
62850
Linear Algebra: If $A^3 = I$, does $A$ have to be $I$?
128760
If $A$ and $B$ two $n\times n$ matrix such that $AB=BA$, then $\dim(A\cap B)$?
141173
Are there matrices such that $AB=I$ and $BA \neq I$
139934
In $\mathbb{Z}/(n)$, does $(a) = (b)$ imply that $a$ and $b$ are associates?
145980
For every matrix $A\in M_{2}( \mathbb{C}) $ there's  $X\in M_{2}( \mathbb{C})$ such that $X^2=A$?
139685
If $A^2$ and $B^2$ are similar matrices, do $A$ and $B$ have to be similar?
97281
Question regarding matrices with same image
93531
Do commuting matrices share the same eigenvectors?
61538
Given a square matrix $A$, both $AA^T$ and $A^TA$ are symmetric
22776
Squares in Matrix
42446
Simple Elementary Algebra Equality
97733
Can it be determined that the sum of the diagonal entries, of matrix A, equals the sum of eigenvalues of A