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I've been asked the following questions:

  1. $ϕ_1,ϕ_2 ∈ Hom(K^n, K^m)$ then $ Mϕ_1+ϕ_2 = Mϕ_1 +Mϕ_2 $
  2. If $M_1,M_2 ∈ M_(n*m)(K) $ then $ ϕ_(M_1+M_2) = ϕ_(M_1)+ ϕ_(M_2) $

But I don't know what is this meaning. Does Hom means homomorphism? Which subject is this?

Can anyone explain it for me?

Thank you very much!

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  • $\begingroup$ mathworld.wolfram.com/Hom.html $\endgroup$ – Hushus46 Feb 19 '17 at 22:11
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    $\begingroup$ I can find no sense in this. Please, try and be more precise; what is $M$ in 1? What is $\phi$ in 2? $\endgroup$ – egreg Feb 19 '17 at 23:06

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