If $T^2 = T$ and $T:V \to V$ , does it mean that $T$ is the identity transformation?
51209
A linear transformation satisfying $P^2 = P$
15596
Identification of each tangent space $T_pV$ with $V$ itself?
145104
$T:$ $\mathbb{C}$ $\to$ $\mathbb{C}$ by $T(z)=\lambda z + \mu \bar{z}$ for every $z \in \mathbb{C}$
61993
Why is $V^{\vee}\otimes W^{\vee}\longrightarrow (V\otimes W)^{\vee}$ always injective?
141166
How to show that when the linear transformation $\Phi =\psi \circ \phi : E \rightarrow G$ is injective, then $\phi$ is also injective?
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
53971
If $g:V \rightarrow V$ is an injective linear transformation. Prove if $V$ is finite dimensional then $g$ is surjective.
82046
prove that this double transpose $T''$ it's not injective.
109674
If $(I-T)^{-1}$ exists, can it always be written in a series representation?
87494
$\operatorname{rank}(T^3) + \operatorname{rank}(T) \geq 2\operatorname{rank}(T^2)$ for finite-dimensional $V$
98824
linear transformation $T$ such that $TS = ST$
112024
Let $T:V → V$ be a linear transformation where $V$ is finite dimensional.
125184
Why $\dim(\hom(V,W))=\dim(V) * \dim(W)$?
92033
Prove that $g$ is a submanifold: $g (t,u,v) = (t^2,u^2,v^2,\sqrt{2}uv, \sqrt{2}tv,\sqrt{2}tu)$
153406
$[F(t):F(t^n)]=n$ where $t$ is trascendental
133756
Geometric interpretation of $\det(A^T) = \det(A)$
76674
Let $S:U\rightarrow V, \ T:V\rightarrow W$ and if $S$ and $T$ are both injective/surjective, is $T\circ S$ injective/surjective?