Does there exist a non-zero matrix $B$ such that $AB = 0$, given $A$ to be non-singular?
58021
Finding matrix $B$ is not zero matrix where $AB= 0$
75104
Existence of some type matrix
38550
2x2 matrices with sum of diagonal entries equal zero
128760
If $A$ and $B$ two $n\times n$ matrix such that $AB=BA$, then $\dim(A\cap B)$?
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?
70455
Why are all nonzero eigenvalues of the skew-symmetric real matrices pure imaginary?
56102
Prove that there is no non-zero linear operator on $\mathbb C^{2}$ such that $(\alpha | T\alpha) = 0$
94563
What correlation makes a matrix singular and what are implications of singularity or near-singularity?
142642
$A=\begin{pmatrix}0&0&1\\ 0&1&0\\ 1&0&0\end{pmatrix}$, $X^2=A$ has no solutions
88746
Positive definiteness of the matrix $A+B$
126769
Linear independence of columns implies non-zero determinant
76790
Condition to guarantee $f=0$ on $[a,b]$
119947
Can a non-zero vector have zero image under every linear functional?
32103
Show that for a $2\times 2$ matrix $A^2=0$
49330
If for two suitable matrices $B$ and $C$, $AA^TB=AA^TC$ can we conclude that $A^TB=A^TC$?
105852
How to verify whether or not there exists a vector $x$ such that $Ax > 0$?
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