Prove that $T,S$ are simultaneously diagonalizable iff $TS=ST$.
36613
Prove that simultaneously diagonalizable matrices commute
34820
Transpose Operator is diagonalizable?
23095
Prove that T is a linear transformation
30049
If $T^m$ is diagonalizable for a $m\in\mathbb N$, then $T$ is diagonalizable.
132366
Diagonalizability of $A \in M_{n}(\Bbb{R})$ (Upper traingular matrix) with all diagonal entries 1 and $A \neq I$?
51967
Prove that if the sum of each row of $A$ equals $s$, then $s$ is an eigenvalue of $A$.
52260
Diagonalization and eigenvalues
104374
Diagonalizability of an involution over a Field
144082
Every $n\times n$ matrix is the sum of a diagonalizable matrix and a nilpotent matrix.
101493
Prove that one diagonal of a quadrilateral bisects the other
158724
Show that $B$ is diagonalizable if If $AB=BA$ and $A$ has distinct real eigenvalues
103839
Proving that $T^{2} = T$ for a linear operator on $W$ implies that $V = \operatorname{Null} T \oplus \operatorname{Range} T$
134120
Prove statement with a counter-example: For all sets S, T and V, V ∪ (S ∩ T) = (V ∪ S) ∩ T is false
124942
Prove that an upper triangular matrix is invertible if and only if every diagonal entry is non-zero.
79739
Block diagonal matrix diagonalizable
133266
If $(X, \mathcal{T})$ has a countable subbasis, then it has a countable basis
122663
Proving $T$ and $U$ are equal if I know $(X,T)$ and $(X,U)$ are hausdorff and compact