Property of $T^2=I_V$
95379
Prove that $V = V_1 \oplus V_2$ in the following
126197
Prove that $T$ has a cyclic vector iff its minimal and characteristic polynomials are the same
41436
rank of complex conjugate transpose matrix property proof
37953
Primary Decomposition of $\mathbb{R^n}$ under T
27564
Prove that $\|UVU^{-1}V^{-1}-I\|\leq 2\|U-I\|\|V-I\|$
45998
The range of $T^*$ is the orthogonal complement of $\ker(T)$
36090
$TT^*=T^2$, show that $T$ is self-adjoint
65395
Prove that if $\operatorname{rank}(T) = \operatorname{rank}(T^2)$ then $R(T) \cap N(T) = \{0\}$
20879
Let $T:V→V$ be a linear transformation satisfying $T^2(v)=-v$ for all $v\in V$. How can we show that $n$ is even?
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
22149
How to prove $dim(Ker (A- \lambda I))=dim (Ker(A^t- \lambda I))$?
112024
Let $T:V → V$ be a linear transformation where $V$ is finite dimensional.
68724
$||T-I|| < 1$ implies that $T$ is invertible.
103839
Proving that $T^{2} = T$ for a linear operator on $W$ implies that $V = \operatorname{Null} T \oplus \operatorname{Range} T$
77486
What is the value of $i^i$?
95774
$\frac{\partial^2 u}{\partial t^2}-c^2\frac{\partial^2u}{\partial x^2}=0\text{ implies } \frac{\partial^2 u}{\partial z \partial y}=0$
5250
Are $T\mathbb{S}^2$ and $\mathbb{S}^2 \times \mathbb{R}^2$ different?