If $f$ commutes with every linear transformation, it's a scalar multiple of the identity
4280
A linear operator commuting with all such operators is a scalar multiple of the identity.
141286
When is $\mathbf{X}^{T}\mathbf{X}+\lambda\mathbf{I}$ invertible?
75059
Let $T:\mathbb{R}^n\to \mathbb{R}^n$ be a linear transformation...
100107
How can I prove that a linear map $T:V\to V$ such that $T^2 = I$ is equal to the Identity map?
53772
What's the explicit categorical relation between a linear transformation and its matrix representation?
48291
Proof that $\mathrm{ker}(f^*) = \mathrm{im}(f)^{\perp} $
29030
Vector space with new scalar multiplication defined over finite field still vector space?
120937
Matrices that commute with all matrices
57731
Can commuting matrices $X,Y$ always be written as polynomials of some matrix $A$?
18379
Linear transformation $T:\mathbb{R}^{n}\rightarrow\mathbb{R}^{n}$ such that $T^{2}=\lambda T.$
2874
Commuting in Matrix Exponential
132492
If a linear transformation $T$ has $z^n$ as the minimal polynomial, there is a vector $v$ such that $v, Tv,\dots, T^{n-1}v$ are linearly independent
24657
Let $T,S$ be linear transformations, $T:\mathbb R^4 \rightarrow \mathbb R^4$, such that $T^3+3T^2=4I, S=T^4+3T^3-4I$. Comment on S.
98824
linear transformation $T$ such that $TS = ST$
91947
Proof of $ f:I_n \rightarrow I_m \Rightarrow n = m$
62845
If two operators commute, does it mean that every eigenfuction of one is also an eigenfunction of the other?
118154
$f: \mathbb{R} \to \mathbb{R}$ that takes each value in $\mathbb{R}$ twice