New posts in Nilpotence

Find all matrices $A\in \mathbb{R}^{2\times2}$ such that $A^2=\bf{0}$

Eigenvalues of a matrix whose square is zero

Mutually commuting matrix with $A_i^2=0$

Nilpotent elements of group algebra $\Bbb CG$

How do I prove or disprove this matrix identity: $ABA=0$ and $B$ is invertible implies $A^2=0$?

Lifting idempotents modulo a nilpotent ideal

Why are eigenvalues of nilpotent matrices equal to zero?

If $A$ is a square matrix and $A^2 = 0$ then $A=0$. Is this true? If not, provide a counter-example.

If A+tB is nilpotent for n+1 distinct values of t, then A and B are nilpotent.

Upper bound for the rank of a nilpotent matrix , if $A^2 \ne 0$