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Questions about the properties of vector spaces and linear transformations, including linear systems in general.
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When a homogeneous map between vector spaces is also additive?
Suppose to have two real vector spaces $V$ and $W$ and an injective map $T:V\rightarrow W$ such that $T(\alpha v)=\alpha T(v)$ for all $v\in V$ and $\alpha \in\mathbb{R}$. Do there exist some conditio …