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Questions about the properties of vector spaces and linear transformations, including linear systems in general.

3 votes
1 answer
299 views

Maps between general linear group that can be extended to functor

this is just a basic linear algebra question, which I do not have a idea. Suppose that we have a group homomorphism $\phi:GL_n(\mathbb{R})\rightarrow GL_m(\mathbb{R})$. Is there always a functor $F:V …