(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Let U and V be vector spaces of dimensions of n and m over K and let Hom(subscriptK)(U,V) be the vector space over K of all linear maps from U to V. Find the dimension and describe a basis of Hom(subscriptK)(U,V). (You may find it helpful to use the correspondence with mxn matrices over K)

2. Relevant equations

3. The attempt at a solution

is Hom(subscriptK)(U,V) a matrix that maps U to V?

I don't get what Hom(subscriptK)(U,V) is...

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# Homework Help: Vector Space

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