How to prove any strictly upper triangular matrices are nilpotent?
50404
How to prove a matrix is nilpotent?
130268
How to prove that a nilpotent matrix is not invertible?
52882
find nonsingular matrices $B$ and $C$ that satisfy $BC+ CB= 0$
130720
Special linear algebra over finite field with characteristic 3
115273
Nilpotent matrix and basis for $F^n$
130298
Why is the group of unit upper triangular matrices solvable?
37162
Prove that matrices have equal rank.
73155
Prove that for any square matrix, an invertible matrix B exists, so that BA is triangular
87262
How to prove positive semidefiniteness of two matrices through Schur Complement?
41514
Let $trcA=0$.why $A=M+N$ where $M$ and $N$ are nilpotent matrices?
45310
If $H\leq Z (G)$ and $G/H$ is nilpotent, then $G$ is nilpotent.
75117
$\mathrm{rank}(AB-BA)=1$ implies $A$ and $B$ are simultaneously triangularisable
63260
Matrices whose Linear Combinations are All Singular
132366
Diagonalizability of $A \in M_{n}(\Bbb{R})$ (Upper traingular matrix) with all diagonal entries 1 and $A \neq I$?
25009
$\operatorname{tr}(A)=\operatorname{tr}(A^{2})= \ldots = \operatorname{tr}(A^{n})=0$ implies $A$ is nilpotent
75211
Theorem about positive matrices
125299
If A+tB is nilpotent for n+1 distinct values of t, then A and B are nilpotent.