T is a diagonalizable linear operator on a finite dimensional vector space V. Then every linear operator which commutes With T is a polynomial of T
93062
Is Every Invariant Subspace the Kernel of an polynomial applied in the operator?
64747
If $A^m=I$ then A is Diagonalizable
137209
Finding the Matrix of a Linear Operator Satisfying a Polynomial
3682
If $V = \text{null}(\textsf{T}-\lambda\textsf{I}) \oplus \text{range}(\textsf{T}-\lambda\textsf{I})$, then prove that $\textsf{T}$ is diagonalizable
46265
Minimal polynomial of the operator $T:V\oplus W\to V\oplus W$
152325
Every subspace of the dual of a finite-dimensional vector space is an annihilator
154724
Every vector space has a basis
75059
Let $T:\mathbb{R}^n\to \mathbb{R}^n$ be a linear transformation...
62845
If two operators commute, does it mean that every eigenfuction of one is also an eigenfunction of the other?
73406
Prove that $E_{\lambda}(T)=E_{\lambda^{-1}}(T^{-1})$ if $T$ is an invertible linear operator on a finite dimensional vector space $V$
87494
$\operatorname{rank}(T^3) + \operatorname{rank}(T) \geq 2\operatorname{rank}(T^2)$ for finite-dimensional $V$
143517
Isomorphisms Between a Finite-Dimensional Vector Space and its Dual
52791
Invertibility of an operator $T$ if $\|I-T\|<1$
34820
Transpose Operator is diagonalizable?
57731
Can commuting matrices $X,Y$ always be written as polynomials of some matrix $A$?
89553
proof that every finite matrix has an annihilating polynomial
45416
linear transformation $T$ is onto if and only if $T^*$ is one to one