If $A$ is a linear map, then $A(\alpha(t))'=A(\alpha'(t))$
59165
Derivative of a linear transformation.
51483
Prove: If a linear map, $φ: U→V$ is bijective, then $φ(x)=0$ has only the solution $x=0$.
60655
$\ker T\subset \ker S\Rightarrow S=rT$ when $S$ and $T$ are linear functionals
72920
$x \perp y$ if and only if $\Vert x + \alpha y \Vert \ge \Vert x \Vert$ for all scalars $\alpha$
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?
113671
Frobenius Automorphism as a linear map
56102
Prove that there is no non-zero linear operator on $\mathbb C^{2}$ such that $(\alpha | T\alpha) = 0$
5644
Is a right inverse of a surjective linear map linear?
72006
Suppose $f(x)$ is linear i.e. $f(x + y) = f(x) +f(y) $ and monotone on $[-\infty, +\infty]$, then $f(x) = ax$, a real.
24785
How prove this equation $\alpha=\aleph_{0}\alpha$
112024
Let $T:V → V$ be a linear transformation where $V$ is finite dimensional.
45416
linear transformation $T$ is onto if and only if $T^*$ is one to one
95340
Locally bounded additive function is linear
152887
Let $T : V \rightarrow V$ be a linear operator. If $T^n = O_V$ for some $n \ge 1$, prove that $I_V + T$ is an isomorphism.
18379
Linear transformation $T:\mathbb{R}^{n}\rightarrow\mathbb{R}^{n}$ such that $T^{2}=\lambda T.$
98824
linear transformation $T$ such that $TS = ST$
75855
Show that $\det{(A + sxy^*)}$ is linear in $s$