Showing a Group of Matrices is Nilpotent
63882
Show that the heisenberg group is nilpotent
33196
show that A(T) is a group under operation of composition of functions
23517
Presentation $\langle x,y,z\mid xyx^{-1}y^{-2},yzy^{-1}z^{-2},zxz^{-1}x^{-2}\rangle$ of group equal to trivial group
144082
Every $n\times n$ matrix is the sum of a diagonalizable matrix and a nilpotent matrix.
39657
Strictly Upper Triangular $n\times n$ Matrices form a Nilpotent Lie Algebra over $\mathbb{C}$ for $n\geq 2$
34700
Proving that the matrix exponential map is surjective onto the general linear group
41514
Let $trcA=0$.why $A=M+N$ where $M$ and $N$ are nilpotent matrices?
88221
Find the center of the group $\operatorname{GL}(n,\mathbb R)$ of invertible $n \times n$ matrices.
123044
Commutative matrices are multiples of the identity
25009
$\operatorname{tr}(A)=\operatorname{tr}(A^{2})= \ldots = \operatorname{tr}(A^{n})=0$ implies $A$ is nilpotent
145876
$AB-BA=A$ implies $A$ is singular and $A$ is nilpotent.
133482
$AB-BA$ is a nilpotent matrix if it commutes with $A$
74318
Find the nilpotents in $\mathbb{Z}_3[x]/(x^2-1)$
131972
All nilpotent $2 \times 2$ matrices satisfy $A^{2}=0$
119452
Nilpotent matrices with same minimal polynomial and nullity
41411
How to show that the nth power of a $n \times n$ nilpotent matrix equals to zero $A^n=0$
6115
Show that $GL_n(\mathbb{F})$ is a finite group iff $\mathbb{F}$ has a finite number of elements