Linear Transformation $T-T^2=I$
35345
How do i prove invertibility of this linear transformation
19139
$T:\ell_2\to \ell_2, T(x_1,x_2,\dotsc)=(x_1,x_2/2,x_3/3,\dotsc)$
78307
Under what conditions is $AA^T$ invertible?
62303
For $V$ vector space of dimension $n$ under $\mathbb C$ and $T: V \to V $ linear transformation , show $V= \ker T^n \oplus $ Im $T^n$
93121
How to prove there exists a linear transformation?
18921
Linear Transformations: Proving 1 dimensional subspace goes to 1 dimensional
37813
If $T\colon \mathbb R^n \to \mathbb R^n $ linear and $T^2 = kT$
80279
Show that $S + T$ and $aT$ are linear
15175
When does a Möbius transformation map $\Im(z)>0$ to itself?
24004
General form of a linear transformation
60900
If $A^2=-I$, Prove that $\det{A}=1$
47313
What is $i^i$ and $(i^i)^i$
127620
Matrix exponential of a traceless $2\times2$ complex matrix
51209
A linear transformation satisfying $P^2 = P$
7813
In a complex vector space, $\langle Tx,x \rangle=0 \implies T = 0$
77587
Cross product: matrix transformation identity
145885
Linear transformation preserving orthogonality