$A$ and $B$ are $3 X 3$ real matrices such that $rank (AB) = 1$
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?
10911
$A \in M_{n}(\mathbb{R})$ has inverse if and only if it's rank is n.
42500
Let $A$ and $B$ be matrices over $\mathbb C$. Then pick out the correct statements.
17430
If $\operatorname{rank}\left( \begin{bmatrix} A &B \\ C &D \end{bmatrix}\right)=n$ prove that $\det(AD)=\det(BC)$
64517
Prove that row rank of a matrix equals column rank
134402
$\mathrm{rank}(A)+\mathrm{rank}(I-A)=n$ for $A$ idempotent matrix
78298
On the nilpotence of the matrix $AB-BA$
37061
The order of $ab$ when $a,b$ commute
128646
$S$ is a $3\times 3$ real matrices. Then $S$ contains which matrices
141105
Show that there exists a $3 × 3$ invertible matrix $M$ with entries in $\mathbb{Z}/2\mathbb{Z}$ such that $M^7 = I_3$.
76200
Is the rank of $AB$ always equal to the rank of $BA$?
27821
A problem on rank of $A$ and $\operatorname{adj}(A)$
6905
Rank of product of a matrix and its transpose
84626
Why in these matrices are $AB=BA$ not equal? What is the logic behind them?
151443
Find two $2 \times 2$ matrices $A$ and $B$ with the same rank, determinant,...but they are not similar.
85297
find a $3 \times 3$ matrix $A$ such that $A \neq I_3$ and $A^{197}=I_3$.
151332
If $A,B$ have eigenvalues $\pm1$, what can I say about the eigenvalues of $AB,BA$?