Prove that the only nilpotent operator is 0?
10001
Prove that the only eigenvalue of a nilpotent operator is 0?
33891
If $\mathbf A$ and $\mathbf B$ are Hermitian, when does $\det(\mathbf A-\lambda\mathbf B)=0$ have only real roots?
83970
Proof of an elementary property of Projection Operators
18036
Localization by a non-nilpotent as a polynomial quotient
133758
Traces of powers of a matrix $A$ over an algebra are zero implies $A$ nilpotent.
42528
Prove that every idempotent element is not nilpotent element.
22563
Units and Nilpotents
25009
$\operatorname{tr}(A)=\operatorname{tr}(A^{2})= \ldots = \operatorname{tr}(A^{n})=0$ implies $A$ is nilpotent
41514
Let $trcA=0$.why $A=M+N$ where $M$ and $N$ are nilpotent matrices?
158343
how to prove an element is non-zero in a tensor-product
154459
Constructing a HoTT proof term of 1≠0
8360
$\sum_i x_i^n = 0$ for all $n$ implies $x_i = 0$
144048
Linear Operators satisfying $S^n=0$ but $S^{n-1}\neq 0$
68617
Show that an entire function that is real only on the real axis has at most one zero, without the argument principle
42334
Does $\lambda$ $\mathbf u$ $= 0$ imply $\lambda = 0$ or $\mathbf u$ $= 0$?
1973
Traces of all positive powers of a matrix are zero implies it is nilpotent
56102
Prove that there is no non-zero linear operator on $\mathbb C^{2}$ such that $(\alpha | T\alpha) = 0$