Why do the nilpotent and diagonalizable parts commute?
61868
Prove that $ND = DN$ where $D$ is a diagonalizable and $N$ is a nilpotent matrix.
22222
Properties of zero-diagonal symmetric matrices
37867
If $0$ is the only eigenvalue of a linear operator, is the operator nilpotent
34712
Decomposable elements of $\Lambda^k(V)$
80751
diagonalisability of matrix few properties
133019
Nilpotent elements in $\mathbb Z_n$
115273
Nilpotent matrix and basis for $F^n$
59055
Diagonalizable transformation restricted to an invariant subspace is diagonalizable
114987
How many connected components does $\mathrm{GL}_n(\mathbb R)$ have?
138410
Centralizer of $\mathbb{C}[G]$ in $\mathbb{C}[H]$
22563
Units and Nilpotents
25009
$\operatorname{tr}(A)=\operatorname{tr}(A^{2})= \ldots = \operatorname{tr}(A^{n})=0$ implies $A$ is nilpotent
56211
An operator that commutes with another operator $T$ with distinct characteristic values is a polynomial in $T$
66134
Sufficiently many idempotents and commutativity
85193
direct product commutes with tensor product?
34820
Transpose Operator is diagonalizable?
28460
Show matrix is nilpotent