All nilpotent $2 \times 2$ matrices satisfy $A^{2}=0$
113907
All nilpotent $2\times 2$ matrices
144145
Symmetric $3\times 3$ Matrices - Base matrix
48127
Are there infinitely many $A\in \mathbb{C}^{2 \times 2}$ satisfying $A^3 = A$?
20331
Determinant of a $2\times 2$ block matrix
71245
$2 \times 2 $ Orthogonal Group
12596
Show that $f(x)=a_0+a_1x+a_2x^2+\cdots+a_nx^n\in R[x]$ is nilpotent iff $a_0,a_1,a_2,\ldots,a_n$ are nilpotent
11375
Jacobson radical of a certain ring of matrices
145876
$AB-BA=A$ implies $A$ is singular and $A$ is nilpotent.
155451
Upper bound for the rank of a nilpotent matrix , if $A^2 \ne 0$
100656
$2\times2$ matrix $A$ such that $A$ has one independent eigenvector while $A^{2}$ has two independent eigenvectors
75553
Order of matrices in $GL_2(\mathbb{Z})$
112701
Prove that if matrix $A$ is nilpotent, then $I+A$ is invertible.
133758
Traces of powers of a matrix $A$ over an algebra are zero implies $A$ nilpotent.
61868
Prove that $ND = DN$ where $D$ is a diagonalizable and $N$ is a nilpotent matrix.
41411
How to show that the nth power of a $n \times n$ nilpotent matrix equals to zero $A^n=0$
25009
$\operatorname{tr}(A)=\operatorname{tr}(A^{2})= \ldots = \operatorname{tr}(A^{n})=0$ implies $A$ is nilpotent
139162
Complex number isomorphic to certain $2\times 2$ matrices?