$trc(A)=0$.why $A=M+N$ where $M$ and $N$ are nilpotent matrices?
41514
Let $trcA=0$.why $A=M+N$ where $M$ and $N$ are nilpotent matrices?
125299
If A+tB is nilpotent for n+1 distinct values of t, then A and B are nilpotent.
120867
How prove this two symmetric matrices $AB=0$
27248
If $A$ is an $m \times n$ matrix, prove that $Ax=0$ has infinite solutions $\iff$ $\text{rank}(A)<n$
52621
Why is $\det(A - \lambda I)$ zero?
131972
All nilpotent $2 \times 2$ matrices satisfy $A^{2}=0$
61274
If $AA^T$ is the zero matrix, then $A$ is the zero matrix
7813
In a complex vector space, $\langle Tx,x \rangle=0 \implies T = 0$
121987
Direct proof that nilpotent matrix has zero trace
37537
Show that $det(A)=0$ for a Matrix $A$ Such That for $X=[2,3,4]^{T}$, $AX=0$
22222
Properties of zero-diagonal symmetric matrices
15202
the root of $N$th transpose matrix
133238
Why does $\mathrm{Tor}_0^R(M,N)\cong M\otimes_R N$?
35897
Proof of: $AB=0 \Rightarrow Rank(A)+Rank(B) \leq n$
113907
All nilpotent $2\times 2$ matrices
106322
Let $A$ and $B$ be square matrices of the same size such that $AB = BA$ and $A$ is nilpotent. Show that $AB$ is nilpotent.
120407
Is every noninvertible matrix a zero divisor?